9275604710400 has 3696 divisors, whose sum is σ = 43013367980160. Its totient is φ = 1934917632000.

The previous prime is 9275604710311. The next prime is 9275604710423. The reversal of 9275604710400 is 40174065729.

9275604710400 is a `hidden beast` number, since 9 + 2 + 7 + 560 + 47 + 1 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 91837670350 + ... + 91837670450.

Almost surely, 2^{9275604710400} is an apocalyptic number.

9275604710400 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 9275604710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506683990080).

9275604710400 is an abundant number, since it is smaller than the sum of its proper divisors (33737763269760).

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

9275604710400 is a wasteful number, since it uses less digits than its factorization.

9275604710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 9275604710400 in words is "nine trillion, two hundred seventy-five billion, six hundred four million, seven hundred ten thousand, four hundred".