8205009666 has 64 divisors (see below), whose sum is σ = 20275000320. Its totient is φ = 2160872640.

The previous prime is 8205009649. The next prime is 8205009679. The reversal of 8205009666 is 6669005028.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109420 + ... + 168471.

It is an arithmetic number, because the mean of its divisors is an integer number (316796880).

Almost surely, 2^8205009666 is an apocalyptic number.

8205009666 is an abundant number, since it is smaller than the sum of its proper divisors (12069990654).

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

8205009666 is a wasteful number, since it uses less digits than its factorization.

8205009666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277959.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 8205009666 is about 90581.5084109334. The cubic root of 8205009666 is about 2016.9402477222.

The spelling of 8205009666 in words is "eight billion, two hundred five million, nine thousand, six hundred sixty-six".