68105667175680 has 576 divisors, whose sum is σ = 247153939200000. Its totient is φ = 15890057035776.

The previous prime is 68105667175627. The next prime is 68105667175751. The reversal of 68105667175680 is 8657176650186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47964571 + ... + 49364069.

It is an arithmetic number, because the mean of its divisors is an integer number (429086700000).

Almost surely, 2^{68105667175680} is an apocalyptic number.

68105667175680 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 68105667175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123576969600000).

68105667175680 is an abundant number, since it is smaller than the sum of its proper divisors (179048272024320).

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

68105667175680 is a wasteful number, since it uses less digits than its factorization.

68105667175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399594 (or 1399580 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 68105667175680 in words is "sixty-eight trillion, one hundred five billion, six hundred sixty-seven million, one hundred seventy-five thousand, six hundred eighty".