2771632764677 has 6 divisors (see below), whose sum is σ = 3224144236518. Its totient is φ = 2375685226824.

The previous prime is 2771632764613. The next prime is 2771632764679. The reversal of 2771632764677 is 7764672361772.

It can be written as a sum of positive squares in only one way, i.e., 1549604218561 + 1222028546116 = 1244831^2 + 1105454^2 .

It is not a de Polignac number, because 2771632764677 - 2⁶ = 2771632764613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771632764679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28281966938 + ... + 28281967035.

It is an arithmetic number, because the mean of its divisors is an integer number (537357372753).

Almost surely, 2^{2771632764677} is an apocalyptic number.

It is an amenable number.

2771632764677 is a deficient number, since it is larger than the sum of its proper divisors (452511471841).

2771632764677 is an equidigital number, since it uses as much as digits as its factorization.

2771632764677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56563933987 (or 56563933980 counting only the distinct ones).

The product of its digits is 174254976, while the sum is 65.

The spelling of 2771632764677 in words is "two trillion, seven hundred seventy-one billion, six hundred thirty-two million, seven hundred sixty-four thousand, six hundred seventy-seven".