5677784877765 has 256 divisors, whose sum is σ = 12630646554624. Its totient is φ = 2119198878720.

The previous prime is 5677784877757. The next prime is 5677784877803.

5677784877765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5677784877765 - 2³ = 5677784877757 is a prime.

It is a super-2 number, since 2×5677784877765² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67179924 + ... + 67264386.

It is an arithmetic number, because the mean of its divisors is an integer number (49338463104).

Almost surely, 2^{5677784877765} is an apocalyptic number.

5677784877765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5677784877765 is an abundant number, since it is smaller than the sum of its proper divisors (6952861676859).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5677784877765 is a wasteful number, since it uses less digits than its factorization.

5677784877765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84561 (or 84539 counting only the distinct ones).

The product of its digits is 27106329600, while the sum is 84.

The spelling of 5677784877765 in words is "five trillion, six hundred seventy-seven billion, seven hundred eighty-four million, eight hundred seventy-seven thousand, seven hundred sixty-five".