74879078400 has 1248 divisors, whose sum is σ = 324693861120. Its totient is φ = 16562257920.

The previous prime is 74879078357. The next prime is 74879078411. The reversal of 74879078400 is 487097847.

74879078400 is a `hidden beast` number, since 7 + 4 + 87 + 90 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025740764 + ... + 1025740836.

Almost surely, 2^74879078400 is an apocalyptic number.

74879078400 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 74879078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162346930560).

74879078400 is an abundant number, since it is smaller than the sum of its proper divisors (249814782720).

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

74879078400 is a wasteful number, since it uses less digits than its factorization.

74879078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 74879078400 in words is "seventy-four billion, eight hundred seventy-nine million, seventy-eight thousand, four hundred".