68068695744000 has 2400 divisors, whose sum is σ = 289949540104224. Its totient is φ = 15345185587200.

The previous prime is 68068695743987. The next prime is 68068695744017. The reversal of 68068695744000 is 44759686086.

68068695744000 is a `hidden beast` number, since 6 + 80 + 6 + 8 + 69 + 57 + 440 + 0 + 0 = 666.

68068695744000 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 (2400).

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

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 239 ways as a sum of consecutive naturals, for example, 114787007704 + ... + 114787008296.

Almost surely, 2^{68068695744000} is an apocalyptic number.

68068695744000 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 68068695744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144974770052112).

68068695744000 is an abundant number, since it is smaller than the sum of its proper divisors (221880844360224).

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

68068695744000 is an frugal number, since it uses more digits than its factorization.

68068695744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 68068695744000 in words is "sixty-eight trillion, sixty-eight billion, six hundred ninety-five million, seven hundred forty-four thousand".