68300217216 has 576 divisors, whose sum is σ = 258082297200. Its totient is φ = 17124065280.

The previous prime is 68300217197. The next prime is 68300217239. The reversal of 68300217216 is 61271200386.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 18005016 + ... + 18008808.

Almost surely, 2^68300217216 is an apocalyptic number.

68300217216 is a gapful number since it is divisible by the number (66) 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 68300217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129041148600).

68300217216 is an abundant number, since it is smaller than the sum of its proper divisors (189782079984).

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

68300217216 is a wasteful number, since it uses less digits than its factorization.

68300217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 68300217216 in words is "sixty-eight billion, three hundred million, two hundred seventeen thousand, two hundred sixteen".