8219717568 has 112 divisors (see below), whose sum is σ = 24194780160. Its totient is φ = 2736467712.

The previous prime is 8219717567. The next prime is 8219717587. The reversal of 8219717568 is 8657179128.

8219717568 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 71 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219717563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633905 + ... + 1638927.

Almost surely, 2^8219717568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097390080).

8219717568 is an abundant number, since it is smaller than the sum of its proper divisors (15975062592).

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

8219717568 is a wasteful number, since it uses less digits than its factorization.

8219717568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5975 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 8219717568 is about 90662.6580682477. The cubic root of 8219717568 is about 2018.1446847275.

The spelling of 8219717568 in words is "eight billion, two hundred nineteen million, seven hundred seventeen thousand, five hundred sixty-eight".