74642611264 has 189 divisors, whose sum is σ = 167195544831. Its totient is φ = 33047239680.

The previous prime is 74642611247. The next prime is 74642611271. The reversal of 74642611264 is 46211624647.

The square root of 74642611264 is 273208.

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

It can be written as a sum of positive squares in 4 ways, for example, as 310041664 + 74332569600 = 17608^2 + 272640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74642611264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1051304349 + ... + 1051304419.

Almost surely, 2^74642611264 is an apocalyptic number.

74642611264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

74642611264 is the 273208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74642611264

74642611264 is an abundant number, since it is smaller than the sum of its proper divisors (92552933567).

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

74642611264 is an equidigital number, since it uses as much as digits as its factorization.

74642611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The spelling of 74642611264 in words is "seventy-four billion, six hundred forty-two million, six hundred eleven thousand, two hundred sixty-four".