96677464900 has 243 divisors, whose sum is σ = 234246593847. Its totient is φ = 34625164800.

The previous prime is 96677464861. The next prime is 96677464937. The reversal of 96677464900 is 946477669.

The square root of 96677464900 is 310930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2261382916 + 94416081984 = 47554^2 + 307272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1638601071 + ... + 1638601129.

Almost surely, 2^96677464900 is an apocalyptic number.

96677464900 is the 310930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96677464900

96677464900 is an abundant number, since it is smaller than the sum of its proper divisors (137569128947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96677464900 is a wasteful number, since it uses less digits than its factorization.

96677464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 96677464900 in words is "ninety-six billion, six hundred seventy-seven million, four hundred sixty-four thousand, nine hundred".