8609402880 has 312 divisors, whose sum is σ = 32146791768. Its totient is φ = 2118647808.

The previous prime is 8609402861. The next prime is 8609402903. The reversal of 8609402880 is 882049068.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 8599965696 = 3072^2 + 92736^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2394364 + ... + 2397956.

It is an arithmetic number, because the mean of its divisors is an integer number (103034589).

Almost surely, 2^8609402880 is an apocalyptic number.

8609402880 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 8609402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073395884).

8609402880 is an abundant number, since it is smaller than the sum of its proper divisors (23537388888).

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

8609402880 is a wasteful number, since it uses less digits than its factorization.

8609402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8609402880 is about 92786.8680363768. The cubic root of 8609402880 is about 2049.5460331283.

The spelling of 8609402880 in words is "eight billion, six hundred nine million, four hundred two thousand, eight hundred eighty".