6657117566 has 32 divisors (see below), whose sum is σ = 11036148480. Its totient is φ = 2986502400.

The previous prime is 6657117547. The next prime is 6657117587.

6657117566 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804671 + ... + 812901.

It is an arithmetic number, because the mean of its divisors is an integer number (344879640).

Almost surely, 2^6657117566 is an apocalyptic number.

6657117566 is a deficient number, since it is larger than the sum of its proper divisors (4379030914).

6657117566 is a wasteful number, since it uses less digits than its factorization.

6657117566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720.

The product of its digits is 1587600, while the sum is 50.

The square root of 6657117566 is about 81591.1610776560. The cubic root of 6657117566 is about 1881.1730235999.

The spelling of 6657117566 in words is "six billion, six hundred fifty-seven million, one hundred seventeen thousand, five hundred sixty-six".