76825242368 has 144 divisors (see below), whose sum is σ = 188716469760. Its totient is φ = 30462394368.

The previous prime is 76825242353. The next prime is 76825242379. The reversal of 76825242368 is 86324252867.

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 15 ways as a sum of consecutive naturals, for example, 1776005 + ... + 1818747.

It is an arithmetic number, because the mean of its divisors is an integer number (1310531040).

Almost surely, 2^76825242368 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 76825242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94358234880).

76825242368 is an abundant number, since it is smaller than the sum of its proper divisors (111891227392).

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

76825242368 is a wasteful number, since it uses less digits than its factorization.

76825242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42842 (or 42828 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 53.

The spelling of 76825242368 in words is "seventy-six billion, eight hundred twenty-five million, two hundred forty-two thousand, three hundred sixty-eight".