74829973786624 has 117 divisors (see below), whose sum is σ = 174081988579617. Its totient is φ = 32068327882752.

The previous prime is 74829973786613. The next prime is 74829973786679. The reversal of 74829973786624 is 42668737992847.

The square root of 74829973786624 is 8650432.

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

It can be written as a sum of positive squares in only one way, i.e., 10234675892224 + 64595297894400 = 3199168^2 + 8037120^2 .

It is a Smith number, since the sum of its digits (82) 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 8 ways as a sum of consecutive naturals, for example, 3875383882 + ... + 3875403190.

Almost surely, 2^{74829973786624} is an apocalyptic number.

74829973786624 is the 8650432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74829973786624

74829973786624 is an abundant number, since it is smaller than the sum of its proper divisors (99252014792993).

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

74829973786624 is an frugal number, since it uses more digits than its factorization.

74829973786624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38656 (or 19318 counting only the distinct ones).

The product of its digits is 12290310144, while the sum is 82.

The spelling of 74829973786624 in words is "seventy-four trillion, eight hundred twenty-nine billion, nine hundred seventy-three million, seven hundred eighty-six thousand, six hundred twenty-four".