68340742800 has 480 divisors, whose sum is σ = 257276152320. Its totient is φ = 15328051200.

The previous prime is 68340742793. The next prime is 68340742837. The reversal of 68340742800 is 824704386.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10781232 + ... + 10787568.

It is an arithmetic number, because the mean of its divisors is an integer number (535991984).

Almost surely, 2^68340742800 is an apocalyptic number.

68340742800 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 68340742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128638076160).

68340742800 is an abundant number, since it is smaller than the sum of its proper divisors (188935409520).

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

68340742800 is a wasteful number, since it uses less digits than its factorization.

68340742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 68340742800 in words is "sixty-eight billion, three hundred forty million, seven hundred forty-two thousand, eight hundred".