68933667116160 has 2560 divisors, whose sum is σ = 311112807413760. Its totient is φ = 14129676288000.

The previous prime is 68933667116141. The next prime is 68933667116161. The reversal of 68933667116160 is 6161176633986.

68933667116160 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 3 + 6 + 6 + 7 + 1 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68933667116161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 126021329007 + ... + 126021329553.

It is an arithmetic number, because the mean of its divisors is an integer number (121528440396).

Almost surely, 2^{68933667116160} is an apocalyptic number.

68933667116160 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 68933667116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155556403706880).

68933667116160 is an abundant number, since it is smaller than the sum of its proper divisors (242179140297600).

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

68933667116160 is a wasteful number, since it uses less digits than its factorization.

68933667116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 68933667116160 in words is "sixty-eight trillion, nine hundred thirty-three billion, six hundred sixty-seven million, one hundred sixteen thousand, one hundred sixty".