9320904964800 has 4032 divisors, whose sum is σ = 43474651444224. Its totient is φ = 1931334451200.

The previous prime is 9320904964781. The next prime is 9320904964843. The reversal of 9320904964800 is 84694090239.

9320904964800 is a `hidden beast` number, since 9 + 3 + 20 + 90 + 496 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47314238302 + ... + 47314238498.

It is an arithmetic number, because the mean of its divisors is an integer number (10782403632).

Almost surely, 2^{9320904964800} is an apocalyptic number.

9320904964800 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 9320904964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737325722112).

9320904964800 is an abundant number, since it is smaller than the sum of its proper divisors (34153746479424).

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

9320904964800 is a wasteful number, since it uses less digits than its factorization.

9320904964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 9320904964800 in words is "nine trillion, three hundred twenty billion, nine hundred four million, nine hundred sixty-four thousand, eight hundred".