68884300800 has 1056 divisors, whose sum is σ = 302156851200. Its totient is φ = 15036088320.

The previous prime is 68884300759. The next prime is 68884300801. The reversal of 68884300800 is 800348886.

68884300800 is a `hidden beast` number, since 68 + 88 + 430 + 0 + 80 + 0 = 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 (68884300801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111282891 + ... + 111283509.

Almost surely, 2^68884300800 is an apocalyptic number.

68884300800 is a gapful number since it is divisible by the number (60) 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 68884300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151078425600).

68884300800 is an abundant number, since it is smaller than the sum of its proper divisors (233272550400).

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

68884300800 is a wasteful number, since it uses less digits than its factorization.

68884300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 68884300800 in words is "sixty-eight billion, eight hundred eighty-four million, three hundred thousand, eight hundred".