7871057568 has 144 divisors (see below), whose sum is σ = 24500732256. Its totient is φ = 2377105920.

The previous prime is 7871057567. The next prime is 7871057609. The reversal of 7871057568 is 8657501787.

It is a happy number.

7871057568 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 0 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7871057567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968530 + ... + 976622.

It is an arithmetic number, because the mean of its divisors is an integer number (170143974).

Almost surely, 2^7871057568 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 7871057568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250366128).

7871057568 is an abundant number, since it is smaller than the sum of its proper divisors (16629674688).

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

7871057568 is a wasteful number, since it uses less digits than its factorization.

7871057568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The square root of 7871057568 is about 88718.9808778257. The cubic root of 7871057568 is about 1989.1965450911.

The spelling of 7871057568 in words is "seven billion, eight hundred seventy-one million, fifty-seven thousand, five hundred sixty-eight".