77641611614677 has 64 divisors (see below), whose sum is σ = 88165882183680. Its totient is φ = 67763845900800.

The previous prime is 77641611614669. The next prime is 77641611614717.

It is a happy number.

77641611614677 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77641611614677 - 2³ = 77641611614669 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77641611615677) 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, 7694139402 + ... + 7694149492.

It is an arithmetic number, because the mean of its divisors is an integer number (1377591909120).

Almost surely, 2^{77641611614677} is an apocalyptic number.

It is an amenable number.

77641611614677 is a deficient number, since it is larger than the sum of its proper divisors (10524270569003).

77641611614677 is a wasteful number, since it uses less digits than its factorization.

77641611614677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314.

The product of its digits is 49787136, while the sum is 64.

The spelling of 77641611614677 in words is "seventy-seven trillion, six hundred forty-one billion, six hundred eleven million, six hundred fourteen thousand, six hundred seventy-seven".