9004976064 has 560 divisors, whose sum is σ = 32455104000. Its totient is φ = 2414168064.

The previous prime is 9004976063. The next prime is 9004976117. The reversal of 9004976064 is 4606794009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004976063) 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, 45251037 + ... + 45251235.

Almost surely, 2^9004976064 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 9004976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227552000).

9004976064 is an abundant number, since it is smaller than the sum of its proper divisors (23450127936).

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

9004976064 is a wasteful number, since it uses less digits than its factorization.

9004976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9004976064 is about 94894.5523410064. The cubic root of 9004976064 is about 2080.4671090966.

The spelling of 9004976064 in words is "nine billion, four million, nine hundred seventy-six thousand, sixty-four".