864118976400 has 135 divisors (see below), whose sum is σ = 2998926447699. Its totient is φ = 230416853760.

The previous prime is 864118976381. The next prime is 864118976423. The reversal of 864118976400 is 4679811468.

The square root of 864118976400 is 929580.

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

864118976400 is a `hidden beast` number, since 86 + 4 + 11 + 89 + 76 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368007236496 + 496111739904 = 606636^2 + 704352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55767054 + ... + 55782546.

Almost surely, 2^864118976400 is an apocalyptic number.

864118976400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

864118976400 is the 929580-th square number.

It is an amenable number.

864118976400 is an abundant number, since it is smaller than the sum of its proper divisors (2134807471299).

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

864118976400 is an equidigital number, since it uses as much as digits as its factorization.

864118976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31010 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 864118976400 in words is "eight hundred sixty-four billion, one hundred eighteen million, nine hundred seventy-six thousand, four hundred".