12624733476264 has 256 divisors, whose sum is σ = 40571412940800. Its totient is φ = 3184700986368.

The previous prime is 12624733476221. The next prime is 12624733476281. The reversal of 12624733476264 is 46267433742621.

12624733476264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443679 + ... + 6091665.

It is an arithmetic number, because the mean of its divisors is an integer number (158482081800).

Almost surely, 2^{12624733476264} is an apocalyptic number.

12624733476264 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 12624733476264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285706470400).

12624733476264 is an abundant number, since it is smaller than the sum of its proper divisors (27946679464536).

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

12624733476264 is a wasteful number, since it uses less digits than its factorization.

12624733476264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648112 (or 2648108 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 57.

The spelling of 12624733476264 in words is "twelve trillion, six hundred twenty-four billion, seven hundred thirty-three million, four hundred seventy-six thousand, two hundred sixty-four".