8640217168 has 80 divisors (see below), whose sum is σ = 20059430400. Its totient is φ = 3558867840.

The previous prime is 8640217093. The next prime is 8640217177. The reversal of 8640217168 is 8617120468.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20743 + ... + 133081.

It is an arithmetic number, because the mean of its divisors is an integer number (250742880).

Almost surely, 2^8640217168 is an apocalyptic number.

8640217168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640217168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029715200).

8640217168 is an abundant number, since it is smaller than the sum of its proper divisors (11419213232).

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

8640217168 is a wasteful number, since it uses less digits than its factorization.

8640217168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112400 (or 112394 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 8640217168 is about 92952.7684794810. The cubic root of 8640217168 is about 2051.9883280928.

The spelling of 8640217168 in words is "eight billion, six hundred forty million, two hundred seventeen thousand, one hundred sixty-eight".