8609408640 has 768 divisors, whose sum is σ = 36279360000. Its totient is φ = 1839366144.

The previous prime is 8609408623. The next prime is 8609408707. The reversal of 8609408640 is 468049068.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 43263261 + ... + 43263459.

It is an arithmetic number, because the mean of its divisors is an integer number (47238750).

Almost surely, 2^8609408640 is an apocalyptic number.

8609408640 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 8609408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680000).

8609408640 is an abundant number, since it is smaller than the sum of its proper divisors (27669951360).

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

8609408640 is a wasteful number, since it uses less digits than its factorization.

8609408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8609408640 is about 92786.8990752466. The cubic root of 8609408640 is about 2049.5464902015.

The spelling of 8609408640 in words is "eight billion, six hundred nine million, four hundred eight thousand, six hundred forty".