76424345088 has 480 divisors, whose sum is σ = 268547811840. Its totient is φ = 19090391040.

The previous prime is 76424345083. The next prime is 76424345147. The reversal of 76424345088 is 88054342467.

It is a self number, because there is not a number n which added to its sum of digits gives 76424345088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76424345083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18588153 + ... + 18592263.

It is an arithmetic number, because the mean of its divisors is an integer number (559474608).

Almost surely, 2^76424345088 is an apocalyptic number.

76424345088 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 76424345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134273905920).

76424345088 is an abundant number, since it is smaller than the sum of its proper divisors (192123466752).

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

76424345088 is a wasteful number, since it uses less digits than its factorization.

76424345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 76424345088 in words is "seventy-six billion, four hundred twenty-four million, three hundred forty-five thousand, eighty-eight".