68328438000 has 240 divisors, whose sum is σ = 223454421216. Its totient is φ = 17962905600.

The previous prime is 68328437999. The next prime is 68328438041. The reversal of 68328438000 is 83482386.

It is a tau number, because it is divible by the number of its divisors (240).

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, 31972932 + ... + 31975068.

Almost surely, 2^68328438000 is an apocalyptic number.

68328438000 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 68328438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111727210608).

68328438000 is an abundant number, since it is smaller than the sum of its proper divisors (155125983216).

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

68328438000 is a wasteful number, since it uses less digits than its factorization.

68328438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 68328438000 in words is "sixty-eight billion, three hundred twenty-eight million, four hundred thirty-eight thousand".