68073873708168 has 192 divisors, whose sum is σ = 191972014153920. Its totient is φ = 22599121305600.

The previous prime is 68073873708167. The next prime is 68073873708173. The reversal of 68073873708168 is 86180737837086.

68073873708168 is a `hidden beast` number, since 6 + 80 + 7 + 387 + 3 + 7 + 0 + 8 + 168 = 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 = 68073873708096 and 68073873708105.

It is not an unprimeable number, because it can be changed into a prime (68073873708167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5561130528 + ... + 5561142768.

It is an arithmetic number, because the mean of its divisors is an integer number (999854240385).

Almost surely, 2^{68073873708168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68073873708168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95986007076960).

68073873708168 is an abundant number, since it is smaller than the sum of its proper divisors (123898140445752).

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

68073873708168 is a wasteful number, since it uses less digits than its factorization.

68073873708168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23650 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 68073873708168 in words is "sixty-eight trillion, seventy-three billion, eight hundred seventy-three million, seven hundred eight thousand, one hundred sixty-eight".