68967664831296 has 504 divisors, whose sum is σ = 264066846881760. Its totient is φ = 16970852505600.

The previous prime is 68967664831279. The next prime is 68967664831301. The reversal of 68967664831296 is 69213846676986.

68967664831296 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 7 + 6 + 6 + 483 + 129 + 6 = 666.

68967664831296 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 (504).

It is a super-2 number, since 2×68967664831296² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52926 + ... + 11744706.

Almost surely, 2^{68967664831296} is an apocalyptic number.

68967664831296 is a gapful number since it is divisible by the number (66) 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 68967664831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132033423440880).

68967664831296 is an abundant number, since it is smaller than the sum of its proper divisors (195099182050464).

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

68967664831296 is a wasteful number, since it uses less digits than its factorization.

68967664831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691843 (or 11691823 counting only the distinct ones).

The product of its digits is 6772211712, while the sum is 81.

The spelling of 68967664831296 in words is "sixty-eight trillion, nine hundred sixty-seven billion, six hundred sixty-four million, eight hundred thirty-one thousand, two hundred ninety-six".