6325560864 has 480 divisors, whose sum is σ = 22832409600. Its totient is φ = 1677749760.

The previous prime is 6325560853. The next prime is 6325560869. The reversal of 6325560864 is 4680655236.

6325560864 is a `hidden beast` number, since 6 + 3 + 2 + 5 + 560 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6325560869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20339269 + ... + 20339579.

It is an arithmetic number, because the mean of its divisors is an integer number (47567520).

Almost surely, 2^6325560864 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 6325560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416204800).

6325560864 is an abundant number, since it is smaller than the sum of its proper divisors (16506848736).

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

6325560864 is a wasteful number, since it uses less digits than its factorization.

6325560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6325560864 is about 79533.3946465257. The cubic root of 6325560864 is about 1849.4091966873.

The spelling of 6325560864 in words is "six billion, three hundred twenty-five million, five hundred sixty thousand, eight hundred sixty-four".