12972763766664 has 48 divisors (see below), whose sum is σ = 37837227655500. Its totient is φ = 3991619620224.

The previous prime is 12972763766653. The next prime is 12972763766689. The reversal of 12972763766664 is 46666736727921.

It can be written as a sum of positive squares in 2 ways, for example, as 12529263708900 + 443500057764 = 3539670^2 + 665958^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12972763766592 and 12972763766601.

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, 6929894239 + ... + 6929896110.

Almost surely, 2^{12972763766664} is an apocalyptic number.

It is an amenable number.

12972763766664 is an abundant number, since it is smaller than the sum of its proper divisors (24864463888836).

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

12972763766664 is a wasteful number, since it uses less digits than its factorization.

12972763766664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13859790374 (or 13859790367 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 72.

The spelling of 12972763766664 in words is "twelve trillion, nine hundred seventy-two billion, seven hundred sixty-three million, seven hundred sixty-six thousand, six hundred sixty-four".