68358189181440 has 320 divisors, whose sum is σ = 221843669667840. Its totient is φ = 17952778567680.

The previous prime is 68358189181421. The next prime is 68358189181493. The reversal of 68358189181440 is 4418198185386.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839844605 + ... + 2839868675.

It is an arithmetic number, because the mean of its divisors is an integer number (693261467712).

Almost surely, 2^{68358189181440} is an apocalyptic number.

68358189181440 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 68358189181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110921834833920).

68358189181440 is an abundant number, since it is smaller than the sum of its proper divisors (153485480486400).

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

68358189181440 is a wasteful number, since it uses less digits than its factorization.

68358189181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29683 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 66.

The spelling of 68358189181440 in words is "sixty-eight trillion, three hundred fifty-eight billion, one hundred eighty-nine million, one hundred eighty-one thousand, four hundred forty".