9272193638400 has 5040 divisors, whose sum is σ = 46909498684752. Its totient is φ = 1783627776000.

The previous prime is 9272193638399. The next prime is 9272193638437. The reversal of 9272193638400 is 48363912729.

9272193638400 is a `hidden beast` number, since 9 + 2 + 72 + 193 + 6 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 152003174370 + ... + 152003174430.

Almost surely, 2^{9272193638400} is an apocalyptic number.

9272193638400 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 9272193638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454749342376).

9272193638400 is an abundant number, since it is smaller than the sum of its proper divisors (37637305046352).

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

9272193638400 is a wasteful number, since it uses less digits than its factorization.

9272193638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9272193638400 in words is "nine trillion, two hundred seventy-two billion, one hundred ninety-three million, six hundred thirty-eight thousand, four hundred".