9372479516400 has 2880 divisors, whose sum is σ = 43952947942400. Its totient is φ = 1655429529600.

The previous prime is 9372479516377. The next prime is 9372479516401. The reversal of 9372479516400 is 46159742739.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9372479516401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9288879096 + ... + 9288880104.

Almost surely, 2^{9372479516400} 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 9372479516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976473971200).

9372479516400 is an abundant number, since it is smaller than the sum of its proper divisors (34580468426000).

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

9372479516400 is a wasteful number, since it uses less digits than its factorization.

9372479516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 9372479516400 in words is "nine trillion, three hundred seventy-two billion, four hundred seventy-nine million, five hundred sixteen thousand, four hundred".