566766667665 has 384 divisors, whose sum is σ = 1198960289280. Its totient is φ = 244518912000.

The previous prime is 566766667637. The next prime is 566766667669.

566766667665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 566766667665 - 2⁶ = 566766667601 is a prime.

It is a super-3 number, since 3×566766667665³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 566766667593 and 566766667602.

It is not an unprimeable number, because it can be changed into a prime (566766667669) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2106939151 + ... + 2106939419.

It is an arithmetic number, because the mean of its divisors is an integer number (3122292420).

Almost surely, 2^566766667665 is an apocalyptic number.

566766667665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

566766667665 is an abundant number, since it is smaller than the sum of its proper divisors (632193621615).

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

566766667665 is a wasteful number, since it uses less digits than its factorization.

566766667665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 566766667665 in words is "five hundred sixty-six billion, seven hundred sixty-six million, six hundred sixty-seven thousand, six hundred sixty-five".