76529724864 has 112 divisors (see below), whose sum is σ = 213316108800. Its totient is φ = 24147542016.

The previous prime is 76529724781. The next prime is 76529724871. The reversal of 76529724864 is 46842792567.

It is a junction number, because it is equal to n+sod(n) for n = 76529724798 and 76529724807.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4832992 + ... + 4848800.

Almost surely, 2^76529724864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76529724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106658054400).

76529724864 is an abundant number, since it is smaller than the sum of its proper divisors (136786383936).

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

76529724864 is a wasteful number, since it uses less digits than its factorization.

76529724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17170 (or 17160 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 76529724864 in words is "seventy-six billion, five hundred twenty-nine million, seven hundred twenty-four thousand, eight hundred sixty-four".