68338398336000 has 704 divisors, whose sum is σ = 244968620682240. Its totient is φ = 16810534502400.

The previous prime is 68338398335971. The next prime is 68338398336001. The reversal of 68338398336000 is 63389383386.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68338398336001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9429884377 + ... + 9429891623.

Almost surely, 2^{68338398336000} is an apocalyptic number.

68338398336000 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 68338398336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122484310341120).

68338398336000 is an abundant number, since it is smaller than the sum of its proper divisors (176630222346240).

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

68338398336000 is a wasteful number, since it uses less digits than its factorization.

68338398336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 60.

The spelling of 68338398336000 in words is "sixty-eight trillion, three hundred thirty-eight billion, three hundred ninety-eight million, three hundred thirty-six thousand".