12964682400 has 72 divisors (see below), whose sum is σ = 42200049024. Its totient is φ = 3457248000.

The previous prime is 12964682383. The next prime is 12964682411. The reversal of 12964682400 is 428646921.

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, 2698576 + ... + 2703375.

It is an arithmetic number, because the mean of its divisors is an integer number (586111792).

Almost surely, 2^12964682400 is an apocalyptic number.

12964682400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12964682400 is an abundant number, since it is smaller than the sum of its proper divisors (29235366624).

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

12964682400 is a wasteful number, since it uses less digits than its factorization.

12964682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401974 (or 5401961 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12964682400 in words is "twelve billion, nine hundred sixty-four million, six hundred eighty-two thousand, four hundred".