$1 for each molecule in 2 grams of H2 . . . .
I can't now find a reference, but I vaguely recollect that hydrogen hasn't been used since 1933.
Hydrogen always seemed to make more sense to me. No nuclear binding energy to account for if the sample is pure 11H. Effectively the mass of 18 grams of H2 would be identical to the mass of a 2 moles of electrons plus a 2 moles of protons -- the electron-proton binding energy is, I believe, negligible to the degree of precision measurable.
But while conceptually simpler, I believe the constant itself was more easily fixed by x-ray crystallography. I first learned of it as 6.02 x 1023 then as 6.023 x 1023. It was changed [to four significant digits] in 1973, I think to 6.022 x 1023.
Anyway, the paper a trillion dollar Zimbabwe note is printed on has to be worth more than the currency, and eventually, even the mole will be too small. Then they'll print googolbucks.