Define "impact on the world". Facebook has massive impact (arguably net-negative). I haven't heard of BASF since 5.25 floppies, though I'm sure they produce some very important things. Did you mean positive impact? Physical impact?
Engineering plastics used in automotive and electronics applications. Styrenes for same.
Automotive OEM and refinish coatings - one of the bigger suppliers. Industrial coatings and paints.
Some of the bigger fungicides, herbicides, insecticides.
Catalytic converter components, battery components, cathodes, etc.
This is exactly what the GP was saying: you're looking at B2C companies as if they matter more, when in reality the vast majority of commerce (but not profits) is B2B.
Oh, you know, it's only largest chemical producer in the world. Oh, I'm sure they produce some very important things, but it can't hold a candle to Facebook.