8643868800 has 192 divisors, whose sum is σ = 32538244800. Its totient is φ = 1975726080.

The previous prime is 8643868771. The next prime is 8643868813. The reversal of 8643868800 is 88683468.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8643868800² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2886 + ... + 131514.

It is an arithmetic number, because the mean of its divisors is an integer number (169470025).

Almost surely, 2^8643868800 is an apocalyptic number.

8643868800 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 8643868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269122400).

8643868800 is an abundant number, since it is smaller than the sum of its proper divisors (23894376000).

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

8643868800 is a wasteful number, since it uses less digits than its factorization.

8643868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128663 (or 128646 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 8643868800 is about 92972.4088103562. The cubic root of 8643868800 is about 2052.2773660007.

The spelling of 8643868800 in words is "eight billion, six hundred forty-three million, eight hundred sixty-eight thousand, eight hundred".