74926979400 has 384 divisors, whose sum is σ = 286701649920. Its totient is φ = 15763092480.

The previous prime is 74926979359. The next prime is 74926979417. The reversal of 74926979400 is 497962947.

It is a super-2 number, since 2×74926979400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20910009 + ... + 20913591.

It is an arithmetic number, because the mean of its divisors is an integer number (746618880).

Almost surely, 2^74926979400 is an apocalyptic number.

74926979400 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 74926979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143350824960).

74926979400 is an abundant number, since it is smaller than the sum of its proper divisors (211774670520).

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

74926979400 is a wasteful number, since it uses less digits than its factorization.

74926979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 74926979400 in words is "seventy-four billion, nine hundred twenty-six million, nine hundred seventy-nine thousand, four hundred".