76113324288 has 216 divisors, whose sum is σ = 221610480000. Its totient is φ = 25123295232.

The previous prime is 76113324283. The next prime is 76113324289. The reversal of 76113324288 is 88242331167.

76113324288 is a `hidden beast` number, since 7 + 611 + 3 + 3 + 2 + 4 + 28 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (76113324283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152531463 + ... + 152531961.

Almost surely, 2^76113324288 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 76113324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110805240000).

76113324288 is an abundant number, since it is smaller than the sum of its proper divisors (145497155712).

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

76113324288 is a wasteful number, since it uses less digits than its factorization.

76113324288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1020 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 76113324288 in words is "seventy-six billion, one hundred thirteen million, three hundred twenty-four thousand, two hundred eighty-eight".