Supercapacitors as batteries
As many videos are telling about the future when batteries would be exchanged by supercapacitors, which would charge fast and with larger power density. 


Telling is easy.
Doing is harder


  How much amount of these capacitors with what specifics would be
  needed for this?


Energy capacity just requires enough stuff.
Energy density is (much) harder.

Supercaps can have high charge &amp; discharge rates but ENERGY mass and volume densities are inferior to any commonly used battery technology. Garglabet knows about achieved densities. Even Lead Acid has far better energy density than supercaps. 

Consider: An 18650 LiIon 3300 mAh cell
This provides about 3.6V x 3 Ah = provides about 11 Wh of energy.
For a capacitor to contain the same energy it's capacitance would need to be
C = 2E/V^2 = 2 x 11Wh x 3.6 MJ/Wh /1.44 =~ 55 megaFarad.
Not something you'll see in an 18650 form factor cap any time soon.
Probably :-)