76864616864200 has 192 divisors, whose sum is σ = 206369483918400. Its totient is φ = 26359345689600.

The previous prime is 76864616864177. The next prime is 76864616864221. The reversal of 76864616864200 is 246861646867.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11265607 + ... + 16752406.

It is an arithmetic number, because the mean of its divisors is an integer number (1074841062075).

Almost surely, 2^{76864616864200} is an apocalyptic number.

It is an amenable number.

76864616864200 is an abundant number, since it is smaller than the sum of its proper divisors (129504867054200).

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

76864616864200 is a wasteful number, since it uses less digits than its factorization.

76864616864200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28018112 (or 28018103 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

The spelling of 76864616864200 in words is "seventy-six trillion, eight hundred sixty-four billion, six hundred sixteen million, eight hundred sixty-four thousand, two hundred".