74888946745600 has 729 divisors, whose sum is σ = 205887167282223. Its totient is φ = 26956780830720.

The previous prime is 74888946745589. The next prime is 74888946745621. The reversal of 74888946745600 is 654764988847.

The square root of 74888946745600 is 8653840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 56593001300224 + 18295945445376 = 7522832^2 + 4277376^2 .

It is a super-2 number, since 2×74888946745600² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 476999660722 + ... + 476999660878.

Almost surely, 2^{74888946745600} is an apocalyptic number.

74888946745600 is the 8653840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74888946745600

74888946745600 is an abundant number, since it is smaller than the sum of its proper divisors (130998220536623).

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

74888946745600 is an equidigital number, since it uses as much as digits as its factorization.

74888946745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 76.

The spelling of 74888946745600 in words is "seventy-four trillion, eight hundred eighty-eight billion, nine hundred forty-six million, seven hundred forty-five thousand, six hundred".