8368664110800 has 960 divisors, whose sum is σ = 33152171458560. Its totient is φ = 1763887104000.

The previous prime is 8368664110777. The next prime is 8368664110801. The reversal of 8368664110800 is 80114668638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8368664110801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459076086 + ... + 459094314.

It is an arithmetic number, because the mean of its divisors is an integer number (34533511936).

Almost surely, 2^{8368664110800} is an apocalyptic number.

8368664110800 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 8368664110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576085729280).

8368664110800 is an abundant number, since it is smaller than the sum of its proper divisors (24783507347760).

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

8368664110800 is a wasteful number, since it uses less digits than its factorization.

8368664110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18361 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 8368664110800 in words is "eight trillion, three hundred sixty-eight billion, six hundred sixty-four million, one hundred ten thousand, eight hundred".