76428607104 has 256 divisors, whose sum is σ = 228031200000. Its totient is φ = 25200267264.

The previous prime is 76428607097. The next prime is 76428607169. The reversal of 76428607104 is 40170682467.

76428607104 is a `hidden beast` number, since 7 + 6 + 4 + 28 + 607 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76428607104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212892877 + ... + 212893235.

It is an arithmetic number, because the mean of its divisors is an integer number (890746875).

Almost surely, 2^76428607104 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 76428607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114015600000).

76428607104 is an abundant number, since it is smaller than the sum of its proper divisors (151602592896).

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

76428607104 is a wasteful number, since it uses less digits than its factorization.

76428607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 76428607104 in words is "seventy-six billion, four hundred twenty-eight million, six hundred seven thousand, one hundred four".