8609409600 has 504 divisors, whose sum is σ = 31909353504. Its totient is φ = 2015232000.

The previous prime is 8609409587. The next prime is 8609409607. The reversal of 8609409600 is 69049068.

It is not an unprimeable number, because it can be changed into a prime (8609409607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88756752 + ... + 88756848.

Almost surely, 2^8609409600 is an apocalyptic number.

8609409600 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 8609409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15954676752).

8609409600 is an abundant number, since it is smaller than the sum of its proper divisors (23299943904).

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

8609409600 is a wasteful number, since it uses less digits than its factorization.

8609409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 8609409600 is about 92786.9042483906. The cubic root of 8609409600 is about 2049.5465663804.

It can be divided in two parts, 860940 and 9600, that added together give a triangular number (870540 = T₁₃₁₉).

The spelling of 8609409600 in words is "eight billion, six hundred nine million, four hundred nine thousand, six hundred".