76428608256 has 864 divisors, whose sum is σ = 305701294080. Its totient is φ = 17716838400.

The previous prime is 76428608237. The next prime is 76428608273. The reversal of 76428608256 is 65280682467.

76428608256 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 8 + 608 + 25 + 6 = 666.

It is a super-2 number, since 2×76428608256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71494890 + ... + 71495958.

Almost surely, 2^76428608256 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 76428608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152850647040).

76428608256 is an abundant number, since it is smaller than the sum of its proper divisors (229272685824).

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

76428608256 is a wasteful number, since it uses less digits than its factorization.

76428608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 76428608256 in words is "seventy-six billion, four hundred twenty-eight million, six hundred eight thousand, two hundred fifty-six".