68332336128 has 1320 divisors, whose sum is σ = 268357966272. Its totient is φ = 17167417344.

The previous prime is 68332336109. The next prime is 68332336141. The reversal of 68332336128 is 82163323386.

68332336128 is a `hidden beast` number, since 6 + 8 + 3 + 3 + 23 + 3 + 612 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 119 ways as a sum of consecutive naturals, for example, 1589124075 + ... + 1589124117.

Almost surely, 2^68332336128 is an apocalyptic number.

68332336128 is a gapful number since it is divisible by the number (68) 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 68332336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134178983136).

68332336128 is an abundant number, since it is smaller than the sum of its proper divisors (200025630144).

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

68332336128 is a wasteful number, since it uses less digits than its factorization.

68332336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 68332336128 in words is "sixty-eight billion, three hundred thirty-two million, three hundred thirty-six thousand, one hundred twenty-eight".