76325628288 has 384 divisors, whose sum is σ = 254115912960. Its totient is φ = 19766108160.

The previous prime is 76325628241. The next prime is 76325628299. The reversal of 76325628288 is 88282652367.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×76325628288³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130026331 + ... + 130026917.

It is an arithmetic number, because the mean of its divisors is an integer number (661760190).

Almost surely, 2^76325628288 is an apocalyptic number.

76325628288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76325628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127057956480).

76325628288 is an abundant number, since it is smaller than the sum of its proper divisors (177790284672).

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

76325628288 is a wasteful number, since it uses less digits than its factorization.

76325628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 673 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 76325628288 in words is "seventy-six billion, three hundred twenty-five million, six hundred twenty-eight thousand, two hundred eighty-eight".