68311330560 has 720 divisors, whose sum is σ = 270048129120. Its totient is φ = 16349921280.

The previous prime is 68311330543. The next prime is 68311330583. The reversal of 68311330560 is 6503311386.

It is a happy number.

68311330560 is a `hidden beast` number, since 6 + 8 + 311 + 330 + 5 + 6 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101502384 + ... + 101503056.

It is an arithmetic number, because the mean of its divisors is an integer number (375066846).

Almost surely, 2^68311330560 is an apocalyptic number.

68311330560 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 68311330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135024064560).

68311330560 is an abundant number, since it is smaller than the sum of its proper divisors (201736798560).

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

68311330560 is a wasteful number, since it uses less digits than its factorization.

68311330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 68311330560 in words is "sixty-eight billion, three hundred eleven million, three hundred thirty thousand, five hundred sixty".