76064457728 has 264 divisors, whose sum is σ = 194340542400. Its totient is φ = 29532045312.

The previous prime is 76064457713. The next prime is 76064457767. The reversal of 76064457728 is 82775446067.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21925178 + ... + 21928646.

Almost surely, 2^76064457728 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 76064457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97170271200).

76064457728 is an abundant number, since it is smaller than the sum of its proper divisors (118276084672).

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

76064457728 is a wasteful number, since it uses less digits than its factorization.

76064457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 76064457728 in words is "seventy-six billion, sixty-four million, four hundred fifty-seven thousand, seven hundred twenty-eight".