8649009600 has 504 divisors, whose sum is σ = 36020337408. Its totient is φ = 1796659200.

The previous prime is 8649009583. The next prime is 8649009671. The reversal of 8649009600 is 69009468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2585529 + ... + 2588871.

Almost surely, 2^8649009600 is an apocalyptic number.

8649009600 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 8649009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010168704).

8649009600 is an abundant number, since it is smaller than the sum of its proper divisors (27371327808).

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

8649009600 is a wasteful number, since it uses less digits than its factorization.

8649009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3371 counting only the distinct ones).

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

The square root of 8649009600 is about 93000.0516128889. The cubic root of 8649009600 is about 2052.6841382022.

The spelling of 8649009600 in words is "eight billion, six hundred forty-nine million, nine thousand, six hundred".