12689646624 has 72 divisors (see below), whose sum is σ = 37422730800. Its totient is φ = 4229879616.

The previous prime is 12689646589. The next prime is 12689646643. The reversal of 12689646624 is 42664698621.

12689646624 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 6 + 4 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12689646624² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808174 + ... + 823725.

It is an arithmetic number, because the mean of its divisors is an integer number (519760150).

Almost surely, 2^12689646624 is an apocalyptic number.

It is an amenable number.

12689646624 is an abundant number, since it is smaller than the sum of its proper divisors (24733084176).

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

12689646624 is an equidigital number, since it uses as much as digits as its factorization.

12689646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631924 (or 1631904 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 12689646624 in words is "twelve billion, six hundred eighty-nine million, six hundred forty-six thousand, six hundred twenty-four".