8462879568 has 160 divisors (see below), whose sum is σ = 28538590080. Its totient is φ = 2367221760.

The previous prime is 8462879563. The next prime is 8462879609. The reversal of 8462879568 is 8659782648.

8462879568 is a `hidden beast` number, since 8 + 4 + 62 + 8 + 7 + 9 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8462879563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6721 + ... + 130272.

It is an arithmetic number, because the mean of its divisors is an integer number (178366188).

Almost surely, 2^8462879568 is an apocalyptic number.

8462879568 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 8462879568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269295040).

8462879568 is an abundant number, since it is smaller than the sum of its proper divisors (20075710512).

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

8462879568 is a wasteful number, since it uses less digits than its factorization.

8462879568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137034 (or 137022 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 8462879568 is about 91993.9104941191. The cubic root of 8462879568 is about 2037.8523765468.

The spelling of 8462879568 in words is "eight billion, four hundred sixty-two million, eight hundred seventy-nine thousand, five hundred sixty-eight".