5664682864665 has 144 divisors (see below), whose sum is σ = 11205096411600. Its totient is φ = 2642211855360.

The previous prime is 5664682864637. The next prime is 5664682864679.

5664682864665 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 6 + 82 + 86 + 466 + 5 = 666.

5664682864665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9266180121 + 5655416684544 = 96261^2 + 2378112^2 .

It is not a de Polignac number, because 5664682864665 - 2⁸ = 5664682864409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5664682864593 and 5664682864602.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43674931 + ... + 43804439.

It is an arithmetic number, because the mean of its divisors is an integer number (77813169525).

Almost surely, 2^{5664682864665} is an apocalyptic number.

5664682864665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5664682864665 is a deficient number, since it is larger than the sum of its proper divisors (5540413546935).

5664682864665 is a wasteful number, since it uses less digits than its factorization.

5664682864665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129848 (or 129834 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 5664682864665 in words is "five trillion, six hundred sixty-four billion, six hundred eighty-two million, eight hundred sixty-four thousand, six hundred sixty-five".