77664646677 has 64 divisors (see below), whose sum is σ = 113906810880. Its totient is φ = 46905034176.

The previous prime is 77664646667. The next prime is 77664646681.

77664646677 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77664646677 - 2⁶ = 77664646613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77664646667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22793908 + ... + 22797314.

It is an arithmetic number, because the mean of its divisors is an integer number (1779793920).

Almost surely, 2^77664646677 is an apocalyptic number.

It is an amenable number.

77664646677 is a deficient number, since it is larger than the sum of its proper divisors (36242164203).

77664646677 is a wasteful number, since it uses less digits than its factorization.

77664646677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670.

The product of its digits is 298722816, while the sum is 66.

The spelling of 77664646677 in words is "seventy-seven billion, six hundred sixty-four million, six hundred forty-six thousand, six hundred seventy-seven".