68208940800 has 1944 divisors, whose sum is σ = 335242449360. Its totient is φ = 13083033600.

The previous prime is 68208940753. The next prime is 68208940801. The reversal of 68208940800 is 804980286.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68208940801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5246841594 + ... + 5246841606.

Almost surely, 2^68208940800 is an apocalyptic number.

68208940800 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 68208940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167621224680).

68208940800 is an abundant number, since it is smaller than the sum of its proper divisors (267033508560).

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

68208940800 is a wasteful number, since it uses less digits than its factorization.

68208940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 68208940800 in words is "sixty-eight billion, two hundred eight million, nine hundred forty thousand, eight hundred".