8008878564 has 42 divisors (see below), whose sum is σ = 21013701030. Its totient is φ = 2669625216.

The previous prime is 8008878557. The next prime is 8008878589. The reversal of 8008878564 is 4658788008.

8008878564 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 8 + 78 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7919576064 + 89302500 = 88992^2 + 9450^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8008878564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1370349 + ... + 1376180.

It is an arithmetic number, because the mean of its divisors is an integer number (500326215).

Almost surely, 2^8008878564 is an apocalyptic number.

It is an amenable number.

8008878564 is an abundant number, since it is smaller than the sum of its proper divisors (13004822466).

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

8008878564 is a wasteful number, since it uses less digits than its factorization.

8008878564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746551 (or 2746534 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8008878564 is about 89492.3380184024. The cubic root of 8008878564 is about 2000.7396067905.

The spelling of 8008878564 in words is "eight billion, eight million, eight hundred seventy-eight thousand, five hundred sixty-four".