809008840216764 has 144 divisors (see below), whose sum is σ = 2231705384213760. Its totient is φ = 245066050944000.

The previous prime is 809008840216763. The next prime is 809008840216783. The reversal of 809008840216764 is 467612048800908.

809008840216764 is a `hidden beast` number, since 8 + 0 + 9 + 0 + 0 + 8 + 8 + 402 + 167 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809008840216763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24271947579 + ... + 24271980909.

It is an arithmetic number, because the mean of its divisors is an integer number (15497954057040).

Almost surely, 2^{809008840216764} is an apocalyptic number.

It is an amenable number.

809008840216764 is an abundant number, since it is smaller than the sum of its proper divisors (1422696543996996).

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

809008840216764 is a wasteful number, since it uses less digits than its factorization.

809008840216764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53552 (or 53547 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 809008840216764 in words is "eight hundred nine trillion, eight billion, eight hundred forty million, two hundred sixteen thousand, seven hundred sixty-four".