75064838400 has 864 divisors, whose sum is σ = 289304816640. Its totient is φ = 19259596800.

The previous prime is 75064838377. The next prime is 75064838413. The reversal of 75064838400 is 483846057.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×75064838400² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 433900714 + ... + 433900886.

Almost surely, 2^75064838400 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 75064838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144652408320).

75064838400 is an abundant number, since it is smaller than the sum of its proper divisors (214239978240).

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

75064838400 is an equidigital number, since it uses as much as digits as its factorization.

75064838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 75064838400 in words is "seventy-five billion, sixty-four million, eight hundred thirty-eight thousand, four hundred".