As I understand it, "Chacham harazim" is the bracha we make upon seeing an assembly of more than 600,000 Jews.
I'm not clear on the exact detail of this law/tradition, but I also know we are not supposed to count Jews.
Bracketing, for a second, the fact that one probably couldn't count a crowd of 600,000...How could one be expected to assess the conditions for this bracha without counting Jews?