4004644464 has 30 divisors (see below), whose sum is σ = 11207442896. Its totient is φ = 1334881440.

The previous prime is 4004644463. The next prime is 4004644477. The reversal of 4004644464 is 4644464004.

4004644464 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 644 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004644463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13904872 + ... + 13905159.

Almost surely, 2^4004644464 is an apocalyptic number.

It is an amenable number.

4004644464 is an abundant number, since it is smaller than the sum of its proper divisors (7202798432).

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

4004644464 is a wasteful number, since it uses less digits than its factorization.

4004644464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810045 (or 27810036 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4004644464 is about 63282.2602630469. The cubic root of 4004644464 is about 1588.0151999171.

The spelling of 4004644464 in words is "four billion, four million, six hundred forty-four thousand, four hundred sixty-four".