6404000625 has 135 divisors (see below), whose sum is σ = 12837767943. Its totient is φ = 3072960000.

The previous prime is 6404000593. The next prime is 6404000683. The reversal of 6404000625 is 5260004046.

It is a happy number.

The square root of 6404000625 is 80025.

It is a perfect power (a square), and thus also a powerful number.

6404000625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5189617521 + 1214383104 = 72039^2 + 34848^2 .

It is not a de Polignac number, because 6404000625 - 2⁵ = 6404000593 is a prime.

It is a super-2 number, since 2×6404000625² = 82022448010000781250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66020577 + ... + 66020673.

Almost surely, 2^6404000625 is an apocalyptic number.

6404000625 is the 80025-th square number.

6404000625 is the 40013-rd centered octagonal number.

It is an amenable number.

6404000625 is an abundant number, since it is smaller than the sum of its proper divisors (6433767318).

6404000625 is an equidigital number, since it uses as much as digits as its factorization.

6404000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 6404000625 is about 1857.0223123716.

The spelling of 6404000625 in words is "six billion, four hundred four million, six hundred twenty-five", and thus it is an aban number.