68009800320 has 1536 divisors, whose sum is σ = 313453670400. Its totient is φ = 13170769920.

The previous prime is 68009800303. The next prime is 68009800333. The reversal of 68009800320 is 2300890086.

68009800320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 601856584 + ... + 601856696.

It is an arithmetic number, because the mean of its divisors is an integer number (204071400).

Almost surely, 2^68009800320 is an apocalyptic number.

68009800320 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 68009800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156726835200).

68009800320 is an abundant number, since it is smaller than the sum of its proper divisors (245443870080).

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

68009800320 is a wasteful number, since it uses less digits than its factorization.

68009800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 68009800320 in words is "sixty-eight billion, nine million, eight hundred thousand, three hundred twenty".