68242680288 has 288 divisors, whose sum is σ = 210190256640. Its totient is φ = 20937692160.

The previous prime is 68242680277. The next prime is 68242680299. The reversal of 68242680288 is 88208624286.

It is a happy number.

68242680288 is a `hidden beast` number, since 68 + 2 + 426 + 80 + 2 + 88 = 666.

It is a Cunningham number, because it is equal to 261233²-1.

It is an interprime number because it is at equal distance from previous prime (68242680277) and next prime (68242680299).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108149733 + ... + 108150363.

It is an arithmetic number, because the mean of its divisors is an integer number (729827280).

Almost surely, 2^68242680288 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 68242680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105095128320).

68242680288 is an abundant number, since it is smaller than the sum of its proper divisors (141947576352).

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

68242680288 is a wasteful number, since it uses less digits than its factorization.

With its successor (68242680289) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1262).

68242680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 68242680288 in words is "sixty-eight billion, two hundred forty-two million, six hundred eighty thousand, two hundred eighty-eight".