9004802296320 has 400 divisors, whose sum is σ = 32432671006560. Its totient is φ = 2387855794176.

The previous prime is 9004802296283. The next prime is 9004802296331. The reversal of 9004802296320 is 236922084009.

9004802296320 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 8 + 0 + 2 + 2 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36996139 + ... + 37238741.

Almost surely, 2^{9004802296320} is an apocalyptic number.

9004802296320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9004802296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216335503280).

9004802296320 is an abundant number, since it is smaller than the sum of its proper divisors (23427868710240).

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

9004802296320 is a wasteful number, since it uses less digits than its factorization.

9004802296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242817 (or 242792 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9004802296320 in words is "nine trillion, four billion, eight hundred two million, two hundred ninety-six thousand, three hundred twenty".