9004375584 has 192 divisors, whose sum is σ = 27985668480. Its totient is φ = 2806824960.

The previous prime is 9004375579. The next prime is 9004375607. The reversal of 9004375584 is 4855734009.

9004375584 is a `hidden beast` number, since 90 + 0 + 4 + 3 + 7 + 558 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392264 + ... + 2396024.

It is an arithmetic number, because the mean of its divisors is an integer number (145758690).

Almost surely, 2^9004375584 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 9004375584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992834240).

9004375584 is an abundant number, since it is smaller than the sum of its proper divisors (18981292896).

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

9004375584 is a wasteful number, since it uses less digits than its factorization.

9004375584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 9004375584 is about 94891.3883553192. The cubic root of 9004375584 is about 2080.4208640483.

The spelling of 9004375584 in words is "nine billion, four million, three hundred seventy-five thousand, five hundred eighty-four".