74907848400 has 720 divisors, whose sum is σ = 306681085440. Its totient is φ = 15454387200.

The previous prime is 74907848387. The next prime is 74907848419. The reversal of 74907848400 is 484870947.

It is a super-2 number, since 2×74907848400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115776877 + ... + 115777523.

It is an arithmetic number, because the mean of its divisors is an integer number (425945952).

Almost surely, 2^74907848400 is an apocalyptic number.

74907848400 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 74907848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153340542720).

74907848400 is an abundant number, since it is smaller than the sum of its proper divisors (231773237040).

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

74907848400 is a wasteful number, since it uses less digits than its factorization.

74907848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 74907848400 in words is "seventy-four billion, nine hundred seven million, eight hundred forty-eight thousand, four hundred".