8004437625 has 32 divisors (see below), whose sum is σ = 13570727040. Its totient is φ = 4188475200.

The previous prime is 8004437593. The next prime is 8004437633. The reversal of 8004437625 is 5267344008.

It is a happy number.

It is not a de Polignac number, because 8004437625 - 2⁵ = 8004437593 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181495 + ... + 221244.

It is an arithmetic number, because the mean of its divisors is an integer number (424085220).

Almost surely, 2^8004437625 is an apocalyptic number.

It is an amenable number.

8004437625 is a deficient number, since it is larger than the sum of its proper divisors (5566289415).

8004437625 is a wasteful number, since it uses less digits than its factorization.

8004437625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402810 (or 402800 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 8004437625 is about 89467.5227387011. The cubic root of 8004437625 is about 2000.3697337276.

The spelling of 8004437625 in words is "eight billion, four million, four hundred thirty-seven thousand, six hundred twenty-five".