74888478720000 has 3040 divisors, whose sum is σ = 322333325318400. Its totient is φ = 17199267840000.

The previous prime is 74888478719993. The next prime is 74888478720079. The reversal of 74888478720000 is 2787488847.

74888478720000 is a `hidden beast` number, since 7 + 488 + 84 + 7 + 8 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3040).

It is a self number, because there is not a number n which added to its sum of digits gives 74888478720000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3941498879991 + ... + 3941498880009.

Almost surely, 2^{74888478720000} 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 74888478720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161166662659200).

74888478720000 is an abundant number, since it is smaller than the sum of its proper divisors (247444846598400).

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

74888478720000 is an frugal number, since it uses more digits than its factorization.

74888478720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 74888478720000 in words is "seventy-four trillion, eight hundred eighty-eight billion, four hundred seventy-eight million, seven hundred twenty thousand".