74524632064 has 99 divisors (see below), whose sum is σ = 157580989257. Its totient is φ = 35222519808.

The previous prime is 74524632053. The next prime is 74524632107. The reversal of 74524632064 is 46023642547.

The square root of 74524632064 is 272992.

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., 45542974464 + 28981657600 = 213408^2 + 170240^2 .

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 74524632064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165978912 + ... + 165979360.

Almost surely, 2^74524632064 is an apocalyptic number.

74524632064 is the 272992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74524632064

74524632064 is an abundant number, since it is smaller than the sum of its proper divisors (83056357193).

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

74524632064 is an frugal number, since it uses more digits than its factorization.

74524632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 74524632064 in words is "seventy-four billion, five hundred twenty-four million, six hundred thirty-two thousand, sixty-four".