76325234688 has 288 divisors, whose sum is σ = 230980276800. Its totient is φ = 25177817088.

The previous prime is 76325234663. The next prime is 76325234701. The reversal of 76325234688 is 88643252367.

76325234688 is a `hidden beast` number, since 7 + 6 + 32 + 523 + 4 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×76325234688³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 51258648 + ... + 51260136.

It is an arithmetic number, because the mean of its divisors is an integer number (802014850).

Almost surely, 2^76325234688 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 76325234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115490138400).

76325234688 is an abundant number, since it is smaller than the sum of its proper divisors (154655042112).

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

76325234688 is a wasteful number, since it uses less digits than its factorization.

76325234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1597 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 76325234688 in words is "seventy-six billion, three hundred twenty-five million, two hundred thirty-four thousand, six hundred eighty-eight".