74344780800 has 1584 divisors, whose sum is σ = 315985400640. Its totient is φ = 17199267840.

The previous prime is 74344780787. The next prime is 74344780849. The reversal of 74344780800 is 808744347.

74344780800 is a `hidden beast` number, since 74 + 34 + 478 + 0 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2009318382 + ... + 2009318418.

Almost surely, 2^74344780800 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 74344780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992700320).

74344780800 is an abundant number, since it is smaller than the sum of its proper divisors (241640619840).

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

74344780800 is a wasteful number, since it uses less digits than its factorization.

74344780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 74344780800 in words is "seventy-four billion, three hundred forty-four million, seven hundred eighty thousand, eight hundred".