8642668320 has 864 divisors, whose sum is σ = 37265417280. Its totient is φ = 1793249280.

The previous prime is 8642668291. The next prime is 8642668327. The reversal of 8642668320 is 238662468.

8642668320 is a `hidden beast` number, since 8 + 64 + 266 + 8 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8642668327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183886537 + ... + 183886583.

It is an arithmetic number, because the mean of its divisors is an integer number (43131270).

Almost surely, 2^8642668320 is an apocalyptic number.

8642668320 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 8642668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632708640).

8642668320 is an abundant number, since it is smaller than the sum of its proper divisors (28622748960).

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

8642668320 is a wasteful number, since it uses less digits than its factorization.

8642668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8642668320 is about 92965.9524772376. The cubic root of 8642668320 is about 2052.1823532985.

The spelling of 8642668320 in words is "eight billion, six hundred forty-two million, six hundred sixty-eight thousand, three hundred twenty".