68178397108320 has 288 divisors, whose sum is σ = 236591763408000. Its totient is φ = 17873866321920.

The previous prime is 68178397108319. The next prime is 68178397108379. The reversal of 68178397108320 is 2380179387186.

68178397108320 is a `hidden beast` number, since 6 + 8 + 178 + 39 + 7 + 108 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175398022 + ... + 175786298.

It is an arithmetic number, because the mean of its divisors is an integer number (821499178500).

Almost surely, 2^{68178397108320} is an apocalyptic number.

68178397108320 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 68178397108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118295881704000).

68178397108320 is an abundant number, since it is smaller than the sum of its proper divisors (168413366299680).

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

68178397108320 is a wasteful number, since it uses less digits than its factorization.

68178397108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390358 (or 390347 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 68178397108320 in words is "sixty-eight trillion, one hundred seventy-eight billion, three hundred ninety-seven million, one hundred eight thousand, three hundred twenty".