74964870758400 has 1296 divisors, whose sum is σ = 303567130460160. Its totient is φ = 16231012761600.

The previous prime is 74964870758363. The next prime is 74964870758417. The reversal of 74964870758400 is 485707846947.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9152098305 + ... + 9152106495.

It is an arithmetic number, because the mean of its divisors is an integer number (234233896960).

Almost surely, 2^{74964870758400} is an apocalyptic number.

74964870758400 is a gapful number since it is divisible by the number (70) 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 74964870758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151783565230080).

74964870758400 is an abundant number, since it is smaller than the sum of its proper divisors (228602259701760).

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

74964870758400 is an equidigital number, since it uses as much as digits as its factorization.

74964870758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 69.

The spelling of 74964870758400 in words is "seventy-four trillion, nine hundred sixty-four billion, eight hundred seventy million, seven hundred fifty-eight thousand, four hundred".