68132216160 has 144 divisors (see below), whose sum is σ = 232668347184. Its totient is φ = 18155529216.

The previous prime is 68132216153. The next prime is 68132216177. The reversal of 68132216160 is 6161223186.

It is a happy number.

68132216160 is a `hidden beast` number, since 6 + 8 + 1 + 32 + 2 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076039 + ... + 2108601.

It is an arithmetic number, because the mean of its divisors is an integer number (1615752411).

Almost surely, 2^68132216160 is an apocalyptic number.

68132216160 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 68132216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116334173592).

68132216160 is an abundant number, since it is smaller than the sum of its proper divisors (164536131024).

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

68132216160 is a wasteful number, since it uses less digits than its factorization.

68132216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34037 (or 34026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 68132216160 in words is "sixty-eight billion, one hundred thirty-two million, two hundred sixteen thousand, one hundred sixty".