74173286304 has 480 divisors, whose sum is σ = 245434132944. Its totient is φ = 21824225280.

The previous prime is 74173286303. The next prime is 74173286323. The reversal of 74173286304 is 40368237147.

74173286304 is a `hidden beast` number, since 7 + 4 + 1 + 7 + 3 + 2 + 8 + 630 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 200165904 + 73973120400 = 14148^2 + 271980^2 .

It is a super-2 number, since 2×74173286304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74173286304.

It is not an unprimeable number, because it can be changed into a prime (74173286303) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 73220902 + ... + 73221914.

Almost surely, 2^74173286304 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 74173286304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122717066472).

74173286304 is an abundant number, since it is smaller than the sum of its proper divisors (171260846640).

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

74173286304 is a wasteful number, since it uses less digits than its factorization.

74173286304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 74173286304 in words is "seventy-four billion, one hundred seventy-three million, two hundred eighty-six thousand, three hundred four".