8864937000864 has 192 divisors, whose sum is σ = 29923839590400. Its totient is φ = 2500777753344.

The previous prime is 8864937000791. The next prime is 8864937000883. The reversal of 8864937000864 is 4680007394688.

8864937000864 is a `hidden beast` number, since 8 + 86 + 493 + 7 + 0 + 0 + 0 + 8 + 64 = 666.

It is a super-2 number, since 2×8864937000864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8799192 + ... + 9754775.

It is an arithmetic number, because the mean of its divisors is an integer number (155853331200).

Almost surely, 2^{8864937000864} is an apocalyptic number.

8864937000864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8864937000864 is an abundant number, since it is smaller than the sum of its proper divisors (21058902589536).

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

8864937000864 is a wasteful number, since it uses less digits than its factorization.

8864937000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18554072 (or 18554058 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8864937000864 in words is "eight trillion, eight hundred sixty-four billion, nine hundred thirty-seven million, eight hundred sixty-four", and thus it is an aban number.