8682448320 has 784 divisors, whose sum is σ = 38245206720. Its totient is φ = 1827422208.

The previous prime is 8682448303. The next prime is 8682448331. The reversal of 8682448320 is 238442868.

8682448320 is a `hidden beast` number, since 86 + 8 + 244 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21228276 + ... + 21228684.

Almost surely, 2^8682448320 is an apocalyptic number.

8682448320 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 8682448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122603360).

8682448320 is an abundant number, since it is smaller than the sum of its proper divisors (29562758400).

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

8682448320 is a wasteful number, since it uses less digits than its factorization.

8682448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8682448320 is about 93179.6561487538. The cubic root of 8682448320 is about 2055.3260924260.

The spelling of 8682448320 in words is "eight billion, six hundred eighty-two million, four hundred forty-eight thousand, three hundred twenty".