8864616000 has 224 divisors, whose sum is σ = 30994209792. Its totient is φ = 2224742400.

The previous prime is 8864615987. The next prime is 8864616107. The reversal of 8864616000 is 6164688.

It is a self number, because there is not a number n which added to its sum of digits gives 8864616000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397137 + ... + 418863.

It is an arithmetic number, because the mean of its divisors is an integer number (138367008).

Almost surely, 2^8864616000 is an apocalyptic number.

8864616000 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 8864616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15497104896).

8864616000 is an abundant number, since it is smaller than the sum of its proper divisors (22129593792).

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

8864616000 is a wasteful number, since it uses less digits than its factorization.

8864616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8864616000 is about 94152.0897272068. The cubic root of 8864616000 is about 2069.6010806806.

The spelling of 8864616000 in words is "eight billion, eight hundred sixty-four million, six hundred sixteen thousand".