75397118400 has 252 divisors, whose sum is σ = 268359998712. Its totient is φ = 20077332480.

The previous prime is 75397118393. The next prime is 75397118431. The reversal of 75397118400 is 481179357.

75397118400 is a `hidden beast` number, since 7 + 539 + 71 + 1 + 8 + 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 35 ways as a sum of consecutive naturals, for example, 11329474 + ... + 11336126.

Almost surely, 2^75397118400 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 75397118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134179999356).

75397118400 is an abundant number, since it is smaller than the sum of its proper divisors (192962880312).

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

75397118400 is a wasteful number, since it uses less digits than its factorization.

75397118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 75397118400 in words is "seventy-five billion, three hundred ninety-seven million, one hundred eighteen thousand, four hundred".