74977910032896 has 320 divisors, whose sum is σ = 240426484636800. Its totient is φ = 23070116818944.

The previous prime is 74977910032889. The next prime is 74977910032913. The reversal of 74977910032896 is 69823001977947.

74977910032896 is a `hidden beast` number, since 7 + 49 + 7 + 79 + 100 + 328 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29136975 + ... + 31605681.

It is an arithmetic number, because the mean of its divisors is an integer number (751332764490).

Almost surely, 2^{74977910032896} 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 74977910032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120213242318400).

74977910032896 is an abundant number, since it is smaller than the sum of its proper divisors (165448574603904).

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

74977910032896 is an equidigital number, since it uses as much as digits as its factorization.

74977910032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468773 (or 2468725 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 74977910032896 in words is "seventy-four trillion, nine hundred seventy-seven billion, nine hundred ten million, thirty-two thousand, eight hundred ninety-six".