The source is a paper from the Australian National University who identified 616,818 suitable locations for 23.1 million GWh of pumped-hydro storage capacity. Link added above.
I've seen quite a lot of contradictory messaging about the availability of locations but it never seems to come linked to any evidence I've seen. It wouldn't be the first time the carbon/nuclear industry successfully spread FUD about science that threatened their bottom line.
For a long time the carbon industry's position was that the only thing capable of accommodating renewable intermittency was ~3 weeks' worth of lithium ion batteries. This is obviously nonsense, but I still see it repeated a lot.
Clean hydrogen / methane would suffice as storage if the goal was to supply green electricity cheaper than nuclear power (not because it's cheap, but because nuclear power is that expensive), but we should be able do better than that - they're both quite inefficient.