5176664640 has 560 divisors, whose sum is σ = 21325953792. Its totient is φ = 1167519744.

The previous prime is 5176664639. The next prime is 5176664657. The reversal of 5176664640 is 464666715.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18688182 + ... + 18688458.

Almost surely, 2^5176664640 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 5176664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10662976896).

5176664640 is an abundant number, since it is smaller than the sum of its proper divisors (16149289152).

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

5176664640 is a wasteful number, since it uses less digits than its factorization.

5176664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5176664640 is about 71949.0419672145. The cubic root of 5176664640 is about 1729.8827857814.

The spelling of 5176664640 in words is "five billion, one hundred seventy-six million, six hundred sixty-four thousand, six hundred forty".