68827120407360 has 896 divisors, whose sum is σ = 301521073766400. Its totient is φ = 14423138795520.

The previous prime is 68827120407359. The next prime is 68827120407403. The reversal of 68827120407360 is 6370402172886.

68827120407360 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 71 + 204 + 0 + 7 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68827120407297 and 68827120407306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34656664 + ... + 36588776.

Almost surely, 2^{68827120407360} is an apocalyptic number.

68827120407360 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 68827120407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150760536883200).

68827120407360 is an abundant number, since it is smaller than the sum of its proper divisors (232693953359040).

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

68827120407360 is a wasteful number, since it uses less digits than its factorization.

68827120407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932196 (or 1932180 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 68827120407360 in words is "sixty-eight trillion, eight hundred twenty-seven billion, one hundred twenty million, four hundred seven thousand, three hundred sixty".