68321272320 has 720 divisors, whose sum is σ = 279354006360. Its totient is φ = 15383789568.

The previous prime is 68321272193. The next prime is 68321272339. The reversal of 68321272320 is 2327212386.

68321272320 is a `hidden beast` number, since 6 + 8 + 321 + 2 + 7 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58362829056 + 9958443264 = 241584^2 + 99792^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 82413666 + ... + 82414494.

Almost surely, 2^68321272320 is an apocalyptic number.

68321272320 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 68321272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139677003180).

68321272320 is an abundant number, since it is smaller than the sum of its proper divisors (211032734040).

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

68321272320 is a wasteful number, since it uses less digits than its factorization.

68321272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 68321272320 in words is "sixty-eight billion, three hundred twenty-one million, two hundred seventy-two thousand, three hundred twenty".