74904883200 has 936 divisors, whose sum is σ = 325132636608. Its totient is φ = 16090398720.

The previous prime is 74904883153. The next prime is 74904883223. The reversal of 74904883200 is 238840947.

It is a super-2 number, since 2×74904883200² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109670059 + ... + 109670741.

It is an arithmetic number, because the mean of its divisors is an integer number (347363928).

Almost surely, 2^74904883200 is an apocalyptic number.

74904883200 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 74904883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162566318304).

74904883200 is an abundant number, since it is smaller than the sum of its proper divisors (250227753408).

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

74904883200 is a wasteful number, since it uses less digits than its factorization.

74904883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 74904883200 in words is "seventy-four billion, nine hundred four million, eight hundred eighty-three thousand, two hundred".