8875563840 has 672 divisors, whose sum is σ = 37464650496. Its totient is φ = 1897758720.

The previous prime is 8875563839. The next prime is 8875563877. The reversal of 8875563840 is 483655788.

8875563840 is a `hidden beast` number, since 8 + 8 + 7 + 556 + 3 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9471852 + ... + 9472788.

It is an arithmetic number, because the mean of its divisors is an integer number (55750968).

Almost surely, 2^8875563840 is an apocalyptic number.

8875563840 is a gapful number since it is divisible by the number (80) 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 8875563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732325248).

8875563840 is an abundant number, since it is smaller than the sum of its proper divisors (28589086656).

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

8875563840 is a wasteful number, since it uses less digits than its factorization.

8875563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 8875563840 is about 94210.2109115567. The cubic root of 8875563840 is about 2070.4527190164.

The spelling of 8875563840 in words is "eight billion, eight hundred seventy-five million, five hundred sixty-three thousand, eight hundred forty".