108068763734568 has 1536 divisors, whose sum is σ = 393627420426240. Its totient is φ = 27014540636160.

The previous prime is 108068763734551. The next prime is 108068763734641. The reversal of 108068763734568 is 865437367860801.

108068763734568 is a `hidden beast` number, since 1 + 0 + 80 + 6 + 87 + 6 + 373 + 45 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 108068763734496 and 108068763734505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72383632030 + ... + 72383633522.

It is an arithmetic number, because the mean of its divisors is an integer number (256267851840).

Almost surely, 2^{108068763734568} is an apocalyptic number.

108068763734568 is a gapful number since it is divisible by the number (18) 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 108068763734568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196813710213120).

108068763734568 is an abundant number, since it is smaller than the sum of its proper divisors (285558656691672).

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

108068763734568 is a wasteful number, since it uses less digits than its factorization.

108068763734568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 108068763734568 in words is "one hundred eight trillion, sixty-eight billion, seven hundred sixty-three million, seven hundred thirty-four thousand, five hundred sixty-eight".