5677337765 has 64 divisors (see below), whose sum is σ = 8058424320. Its totient is φ = 3793920000.

The previous prime is 5677337753. The next prime is 5677337777.

5677337765 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5677337753) and next prime (5677337777).

It is not a de Polignac number, because 5677337765 - 2⁴ = 5677337749 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5677337765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7459985 + ... + 7460745.

It is an arithmetic number, because the mean of its divisors is an integer number (125912880).

Almost surely, 2^5677337765 is an apocalyptic number.

5677337765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5677337765 is a deficient number, since it is larger than the sum of its proper divisors (2381086555).

5677337765 is a wasteful number, since it uses less digits than its factorization.

5677337765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its digits is 19448100, while the sum is 56.

The square root of 5677337765 is about 75348.1105602523. The cubic root of 5677337765 is about 1783.9454800322.

The spelling of 5677337765 in words is "five billion, six hundred seventy-seven million, three hundred thirty-seven thousand, seven hundred sixty-five".