76680577508667 has 32 divisors (see below), whose sum is σ = 111636845533440. Its totient is φ = 46430811947520.

The previous prime is 76680577508651. The next prime is 76680577508723.

76680577508667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76680577508667 - 2⁴ = 76680577508651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76680577508592 and 76680577508601.

It is not an unprimeable number, because it can be changed into a prime (76680577508767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328396543 + ... + 328629959.

It is an arithmetic number, because the mean of its divisors is an integer number (3488651422920).

Almost surely, 2^{76680577508667} is an apocalyptic number.

76680577508667 is a deficient number, since it is larger than the sum of its proper divisors (34956268024773).

76680577508667 is a wasteful number, since it uses less digits than its factorization.

76680577508667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242443.

The product of its (nonzero) digits is 4978713600, while the sum is 78.

The spelling of 76680577508667 in words is "seventy-six trillion, six hundred eighty billion, five hundred seventy-seven million, five hundred eight thousand, six hundred sixty-seven".