76233011328 has 512 divisors, whose sum is σ = 245339539200. Its totient is φ = 23505666048.

The previous prime is 76233011297. The next prime is 76233011329. The reversal of 76233011328 is 82311033267.

76233011328 is a `hidden beast` number, since 7 + 6 + 23 + 301 + 1 + 328 = 666.

It is a super-2 number, since 2×76233011328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76233011292 and 76233011301.

It is not an unprimeable number, because it can be changed into a prime (76233011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394989600 + ... + 394989792.

Almost surely, 2^76233011328 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 76233011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122669769600).

76233011328 is an abundant number, since it is smaller than the sum of its proper divisors (169106527872).

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

76233011328 is an equidigital number, since it uses as much as digits as its factorization.

76233011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 76233011328 in words is "seventy-six billion, two hundred thirty-three million, eleven thousand, three hundred twenty-eight".