8869779688 has 128 divisors (see below), whose sum is σ = 21889440000. Its totient is φ = 3336264960.

The previous prime is 8869779617. The next prime is 8869779689.

8869779688 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8869779689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870270 + ... + 880402.

It is an arithmetic number, because the mean of its divisors is an integer number (171011250).

Almost surely, 2^8869779688 is an apocalyptic number.

8869779688 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 8869779688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944720000).

8869779688 is an abundant number, since it is smaller than the sum of its proper divisors (13019660312).

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

8869779688 is a wasteful number, since it uses less digits than its factorization.

8869779688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10182 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 76.

The square root of 8869779688 is about 94179.5077923005. The cubic root of 8869779688 is about 2070.0028540494.

The spelling of 8869779688 in words is "eight billion, eight hundred sixty-nine million, seven hundred seventy-nine thousand, six hundred eighty-eight".