77968644686977 has 32 divisors (see below), whose sum is σ = 88311596376960. Its totient is φ = 68234386936320.

The previous prime is 77968644686969. The next prime is 77968644686983.

77968644686977 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77968644686977 - 2³ = 77968644686969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77968644386977) 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, 783418 + ... + 12512035.

It is an arithmetic number, because the mean of its divisors is an integer number (2759737386780).

Almost surely, 2^{77968644686977} is an apocalyptic number.

It is an amenable number.

77968644686977 is a deficient number, since it is larger than the sum of its proper divisors (10342951689983).

77968644686977 is a wasteful number, since it uses less digits than its factorization.

77968644686977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13295713.

The product of its digits is 258096513024, while the sum is 94.

The spelling of 77968644686977 in words is "seventy-seven trillion, nine hundred sixty-eight billion, six hundred forty-four million, six hundred eighty-six thousand, nine hundred seventy-seven".