76479018352 has 80 divisors (see below), whose sum is σ = 166135375584. Its totient is φ = 33799680000.

The previous prime is 76479018349. The next prime is 76479018359. The reversal of 76479018352 is 25381097467.

It is a pancake number, because a pancake can be divided into 76479018352 parts by 391098 straight cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 76479018352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76479018359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11724852 + ... + 11731372.

It is a 2-persistent number, because it is pandigital, and so is 2⋅76479018352 = 152958036704, but 3⋅76479018352 = 229437055056 is not.

Almost surely, 2^76479018352 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 76479018352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83067687792).

76479018352 is an abundant number, since it is smaller than the sum of its proper divisors (89656357232).

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

76479018352 is a wasteful number, since it uses less digits than its factorization.

76479018352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 76479018352 in words is "seventy-six billion, four hundred seventy-nine million, eighteen thousand, three hundred fifty-two".