68269517971200 has 7776 divisors, whose sum is σ = 346866499123200. Its totient is φ = 13205812838400.

The previous prime is 68269517971163. The next prime is 68269517971201. The reversal of 68269517971200 is 217971596286.

68269517971200 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 9 + 517 + 97 + 1 + 20 + 0 = 666.

68269517971200 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 (7776).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68269517971201) by changing a digit.

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 863 ways as a sum of consecutive naturals, for example, 2202242515185 + ... + 2202242515215.

Almost surely, 2^{68269517971200} is an apocalyptic number.

68269517971200 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 68269517971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173433249561600).

68269517971200 is an abundant number, since it is smaller than the sum of its proper divisors (278596981152000).

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

68269517971200 is a wasteful number, since it uses less digits than its factorization.

68269517971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 68269517971200 in words is "sixty-eight trillion, two hundred sixty-nine billion, five hundred seventeen million, nine hundred seventy-one thousand, two hundred".