12764479342368 has 192 divisors, whose sum is σ = 36970652880000. Its totient is φ = 3831080509440.

The previous prime is 12764479342331. The next prime is 12764479342397. The reversal of 12764479342368 is 86324397446721.

12764479342368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12764479342299 and 12764479342308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355548483 + ... + 355584381.

It is an arithmetic number, because the mean of its divisors is an integer number (192555483750).

Almost surely, 2^{12764479342368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12764479342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485326440000).

12764479342368 is an abundant number, since it is smaller than the sum of its proper divisors (24206173537632).

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

12764479342368 is a wasteful number, since it uses less digits than its factorization.

12764479342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42915 (or 42907 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 66.

The spelling of 12764479342368 in words is "twelve trillion, seven hundred sixty-four billion, four hundred seventy-nine million, three hundred forty-two thousand, three hundred sixty-eight".