68579563129 has 81 divisors (see below), whose sum is σ = 93065879781. Its totient is φ = 50343234480.

The previous prime is 68579563097. The next prime is 68579563177. The reversal of 68579563129 is 92136597586.

The square root of 68579563129 is 261877.

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

It is not a de Polignac number, because 68579563129 - 2⁵ = 68579563097 is a prime.

Its product of digits (24494400) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (68579563729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 383125962 + ... + 383126140.

Almost surely, 2^68579563129 is an apocalyptic number.

68579563129 is the 261877-th square number.

68579563129 is the 130939-th centered octagonal number.

It is an amenable number.

68579563129 is a deficient number, since it is larger than the sum of its proper divisors (24486316652).

68579563129 is a wasteful number, since it uses less digits than its factorization.

68579563129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 61.

The spelling of 68579563129 in words is "sixty-eight billion, five hundred seventy-nine million, five hundred sixty-three thousand, one hundred twenty-nine".