10972684636704 has 144 divisors (see below), whose sum is σ = 36149735486592. Its totient is φ = 3092106783744.

The previous prime is 10972684636691. The next prime is 10972684636729. The reversal of 10972684636704 is 40763648627901.

It is a happy number.

10972684636704 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 268 + 4 + 6 + 367 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37132284 + ... + 37426619.

It is an arithmetic number, because the mean of its divisors is an integer number (251039829768).

Almost surely, 2^{10972684636704} is an apocalyptic number.

10972684636704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10972684636704 is an abundant number, since it is smaller than the sum of its proper divisors (25177050849888).

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

10972684636704 is a wasteful number, since it uses less digits than its factorization.

10972684636704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74558999 (or 74558988 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 10972684636704 in words is "ten trillion, nine hundred seventy-two billion, six hundred eighty-four million, six hundred thirty-six thousand, seven hundred four".