74979480520800 has 432 divisors, whose sum is σ = 267009670287360. Its totient is φ = 19797531909120.

The previous prime is 74979480520799. The next prime is 74979480520807. The reversal of 74979480520800 is 802508497947.

74979480520800 is a `hidden beast` number, since 7 + 4 + 9 + 79 + 480 + 5 + 2 + 0 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74979480520807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459861691 + ... + 460024709.

It is an arithmetic number, because the mean of its divisors is an integer number (618077940480).

Almost surely, 2^{74979480520800} 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 74979480520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133504835143680).

74979480520800 is an abundant number, since it is smaller than the sum of its proper divisors (192030189766560).

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

74979480520800 is a wasteful number, since it uses less digits than its factorization.

74979480520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163675 (or 163659 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 74979480520800 in words is "seventy-four trillion, nine hundred seventy-nine billion, four hundred eighty million, five hundred twenty thousand, eight hundred".