You said once you're done with all puzzles.
8x8 squares equals 64 squares, 2 options per square.
2^64 = 18,446,744,073,709,551,616 combinations
and that's just for the 8x8 boards, then you have 8x7, 7x7, 7x6.. etc.
I say you're likely to get fed up with the game, get insane, or grow old and die before you're done with all puzzles.