74889795600 has 135 divisors (see below), whose sum is σ = 259945386519. Its totient is φ = 19966233600.

The previous prime is 74889795593. The next prime is 74889795611. The reversal of 74889795600 is 659798847.

The square root of 74889795600 is 273660.

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

74889795600 is a `hidden beast` number, since 7 + 488 + 9 + 7 + 95 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6981605136 + 67908190464 = 83556^2 + 260592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16417320 + ... + 16421880.

Almost surely, 2^74889795600 is an apocalyptic number.

74889795600 is the 273660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74889795600

74889795600 is an abundant number, since it is smaller than the sum of its proper divisors (185055590919).

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

74889795600 is an equidigital number, since it uses as much as digits as its factorization.

74889795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

It can be divided in two parts, 74889 and 795600, that added together give a square (870489 = 933²).

The spelling of 74889795600 in words is "seventy-four billion, eight hundred eighty-nine million, seven hundred ninety-five thousand, six hundred".