12627625264 has 80 divisors (see below), whose sum is σ = 26222071680. Its totient is φ = 5873472000.

The previous prime is 12627625201. The next prime is 12627625319. The reversal of 12627625264 is 46252672621.

It is a super-2 number, since 2×12627625264² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12627625264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5569059 + ... + 5571325.

It is an arithmetic number, because the mean of its divisors is an integer number (327775896).

Almost surely, 2^12627625264 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 12627625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111035840).

12627625264 is an abundant number, since it is smaller than the sum of its proper divisors (13594446416).

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

12627625264 is a wasteful number, since it uses less digits than its factorization.

12627625264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2612 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The spelling of 12627625264 in words is "twelve billion, six hundred twenty-seven million, six hundred twenty-five thousand, two hundred sixty-four".