74414920320 has 448 divisors, whose sum is σ = 287265976200. Its totient is φ = 18316025856.

The previous prime is 74414920309. The next prime is 74414920381. The reversal of 74414920320 is 2302941447.

74414920320 is a `hidden beast` number, since 7 + 441 + 4 + 9 + 203 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63976620096 + 10438300224 = 252936^2 + 102168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6059146 + ... + 6071414.

Almost surely, 2^74414920320 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 74414920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143632988100).

74414920320 is an abundant number, since it is smaller than the sum of its proper divisors (212851055880).

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

74414920320 is a wasteful number, since it uses less digits than its factorization.

74414920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 74414920320 in words is "seventy-four billion, four hundred fourteen million, nine hundred twenty thousand, three hundred twenty".