76067911342864 has 405 divisors, whose sum is σ = 186013539454197. Its totient is φ = 30043368225024.

The previous prime is 76067911342831. The next prime is 76067911342883. The reversal of 76067911342864 is 46824311976067.

The square root of 76067911342864 is 8721692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39888167541264 + 36179743801600 = 6315708^2 + 6014960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76067911342796 and 76067911342805.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 162886319559 + ... + 162886320025.

Almost surely, 2^{76067911342864} is an apocalyptic number.

76067911342864 is the 8721692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76067911342864

76067911342864 is an abundant number, since it is smaller than the sum of its proper divisors (109945628111333).

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

76067911342864 is an equidigital number, since it uses as much as digits as its factorization.

76067911342864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 76067911342864 in words is "seventy-six trillion, sixty-seven billion, nine hundred eleven million, three hundred forty-two thousand, eight hundred sixty-four".