9375062400 has 576 divisors, whose sum is σ = 36980601840. Its totient is φ = 2242560000.

The previous prime is 9375062399. The next prime is 9375062413. The reversal of 9375062400 is 42605739.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31996654 + ... + 31996946.

Almost surely, 2^9375062400 is an apocalyptic number.

9375062400 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 9375062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490300920).

9375062400 is an abundant number, since it is smaller than the sum of its proper divisors (27605539440).

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

9375062400 is a wasteful number, since it uses less digits than its factorization.

9375062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9375062400 is about 96824.9058868636. The cubic root of 9375062400 is about 2108.5863414838.

The spelling of 9375062400 in words is "nine billion, three hundred seventy-five million, sixty-two thousand, four hundred".