12976571664 has 480 divisors, whose sum is σ = 46239897600. Its totient is φ = 3311953920.

The previous prime is 12976571659. The next prime is 12976571689. The reversal of 12976571664 is 46617567921.

12976571664 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 6 + 571 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12976571664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39203979 + ... + 39204309.

It is an arithmetic number, because the mean of its divisors is an integer number (96333120).

Almost surely, 2^12976571664 is an apocalyptic number.

12976571664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12976571664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119948800).

12976571664 is an abundant number, since it is smaller than the sum of its proper divisors (33263325936).

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

12976571664 is a wasteful number, since it uses less digits than its factorization.

12976571664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 12976571664 in words is "twelve billion, nine hundred seventy-six million, five hundred seventy-one thousand, six hundred sixty-four".