68111728312320 has 4284 divisors, whose sum is σ = 325131657635736. Its totient is φ = 13537734819840.

The previous prime is 68111728312307. The next prime is 68111728312363. The reversal of 68111728312320 is 2321382711186.

68111728312320 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 1 + 7 + 2 + 8 + 312 + 320 = 666.

68111728312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 251 ways as a sum of consecutive naturals, for example, 2961379491829 + ... + 2961379491851.

Almost surely, 2^{68111728312320} is an apocalyptic number.

68111728312320 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 68111728312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162565828817868).

68111728312320 is an abundant number, since it is smaller than the sum of its proper divisors (257019929323416).

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

68111728312320 is an frugal number, since it uses more digits than its factorization.

68111728312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 68111728312320 in words is "sixty-eight trillion, one hundred eleven billion, seven hundred twenty-eight million, three hundred twelve thousand, three hundred twenty".