68117575680 has 1152 divisors, whose sum is σ = 305407065600. Its totient is φ = 13624934400.

The previous prime is 68117575663. The next prime is 68117575711. The reversal of 68117575680 is 8657571186.

68117575680 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 7 + 575 + 68 + 0 = 666.

68117575680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 205793115 + ... + 205793445.

It is an arithmetic number, because the mean of its divisors is an integer number (265110300).

Almost surely, 2^68117575680 is an apocalyptic number.

68117575680 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 68117575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152703532800).

68117575680 is an abundant number, since it is smaller than the sum of its proper divisors (237289489920).

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

68117575680 is a wasteful number, since it uses less digits than its factorization.

68117575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 68117575680 in words is "sixty-eight billion, one hundred seventeen million, five hundred seventy-five thousand, six hundred eighty".