68217856000 has 448 divisors, whose sum is σ = 201515618304. Its totient is φ = 22560768000.

The previous prime is 68217855977. The next prime is 68217856013. The reversal of 68217856000 is 65871286.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 222207847 + ... + 222208153.

It is an arithmetic number, because the mean of its divisors is an integer number (449811648).

Almost surely, 2^68217856000 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 68217856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100757809152).

68217856000 is an abundant number, since it is smaller than the sum of its proper divisors (133297762304).

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

68217856000 is an equidigital number, since it uses as much as digits as its factorization.

68217856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 68217856000 in words is "sixty-eight billion, two hundred seventeen million, eight hundred fifty-six thousand".