8649688320 has 864 divisors, whose sum is σ = 37998385152. Its totient is φ = 1767702528.

The previous prime is 8649688303. The next prime is 8649688337. The reversal of 8649688320 is 238869468.

It is an interprime number because it is at equal distance from previous prime (8649688303) and next prime (8649688337).

It is a congruent number.

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, 38787729 + ... + 38787951.

Almost surely, 2^8649688320 is an apocalyptic number.

8649688320 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 8649688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999192576).

8649688320 is an abundant number, since it is smaller than the sum of its proper divisors (29348696832).

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

8649688320 is a wasteful number, since it uses less digits than its factorization.

8649688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 8649688320 is about 93003.7005715364. The cubic root of 8649688320 is about 2052.7378307212.

The spelling of 8649688320 in words is "eight billion, six hundred forty-nine million, six hundred eighty-eight thousand, three hundred twenty".