68300241102720 has 768 divisors, whose sum is σ = 276020244864000. Its totient is φ = 15986669690880.

The previous prime is 68300241102713. The next prime is 68300241102721. The reversal of 68300241102720 is 2720114200386.

It is a happy number.

68300241102720 is a `hidden beast` number, since 6 + 8 + 300 + 241 + 102 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68300241102721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48922521 + ... + 50299239.

It is an arithmetic number, because the mean of its divisors is an integer number (359401360500).

Almost surely, 2^{68300241102720} is an apocalyptic number.

68300241102720 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 68300241102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138010122432000).

68300241102720 is an abundant number, since it is smaller than the sum of its proper divisors (207720003761280).

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

68300241102720 is a wasteful number, since it uses less digits than its factorization.

68300241102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376793 (or 1376769 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 68300241102720 in words is "sixty-eight trillion, three hundred billion, two hundred forty-one million, one hundred two thousand, seven hundred twenty".