5107626624 has 256 divisors, whose sum is σ = 14600851200. Its totient is φ = 1579253760.

The previous prime is 5107626617. The next prime is 5107626649. The reversal of 5107626624 is 4266267015.

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, 49588557 + ... + 49588659.

It is an arithmetic number, because the mean of its divisors is an integer number (57034575).

Almost surely, 2^5107626624 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 5107626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300425600).

5107626624 is an abundant number, since it is smaller than the sum of its proper divisors (9493224576).

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

5107626624 is a wasteful number, since it uses less digits than its factorization.

5107626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5107626624 is about 71467.6613861123. The cubic root of 5107626624 is about 1722.1582138150.

The spelling of 5107626624 in words is "five billion, one hundred seven million, six hundred twenty-six thousand, six hundred twenty-four".