Bicycles aren't remotely as efficient as trains, which should be obvious really. Trains can carry a ton of people (literally, more like many, many tons! :-) ), at fairly high speed (talking about city trains/subways here, not bullet trains). At crowded times, people can be packed in quite densely, almost shoulder-to-shoulder. And this can all be done quite safely, with injuries and deaths astronomically uncommon if the train is operated and maintained properly.
Cycling has far less density, and far greater danger. It's easy to fall off a bike, or run into someone (pedestrian or cyclist), and it's even worse if there's cars around. Bikes are also quite slow compared to trains.
The advantages bikes have are:
1. flexibility: you can go most places by bicycle if the city doesn't hinder this too much by being too car-oriented. Trains only take you between far-apart stations, but a bike can take you the door of your destination. In places with good public transit and good bicycle support, it's very common for people to ride a bike to or from the train/subway station, and use the bicycle for the "last mile" instead of walking which is much slower.
2. small size: compared to cars, bikes take little space and so they don't need huge, wide roads, or even worse, giant parking lots. Here in Tokyo, lots of places have bicycle parking lots or garages, and it's staggering how many bicycles can fit into a space that only a handful of cars would be able to park in. And in places with no designated parking, it's common for people to just park their bike on the edge of the sidewalk, in a side alley, etc., things you can't do with a car.
So back to your 6500 bikes/hour figure: the problem with this kind of comparison is that it neglects parking. If everyone is driving in a car on a highway, they need a place to park, and putting parking for cars everywhere means everything must be spaced out much, much farther, which means everyone needs a car to get around. If no one has a car and everyone has a bicycle, then you don't need any car parking and bicycle parking takes very little space, so everything is now much closer together and you don't have to go nearly as far in the first place.
Of course, this doesn't even get into quality-of-life things like lack of pollution and noise, being able to actually see people's faces as you're out and about, etc.