12758576364 has 72 divisors (see below), whose sum is σ = 34221842928. Its totient is φ = 3994030080.

The previous prime is 12758576357. The next prime is 12758576401. The reversal of 12758576364 is 46367585721.

12758576364 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 8 + 576 + 3 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12758576364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263484 + ... + 308124.

It is an arithmetic number, because the mean of its divisors is an integer number (475303374).

Almost surely, 2^12758576364 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 12758576364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110921464).

12758576364 is an abundant number, since it is smaller than the sum of its proper divisors (21463266564).

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

12758576364 is a wasteful number, since it uses less digits than its factorization.

12758576364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45135 (or 45130 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 12758576364 in words is "twelve billion, seven hundred fifty-eight million, five hundred seventy-six thousand, three hundred sixty-four".