68319313920000 has 2940 divisors, whose sum is σ = 300753146329944. Its totient is φ = 15288238080000.

The previous prime is 68319313919953. The next prime is 68319313920031. The reversal of 68319313920000 is 2931391386.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 5255331839994 + ... + 5255331840006.

Almost surely, 2^{68319313920000} is an apocalyptic number.

68319313920000 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 68319313920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150376573164972).

68319313920000 is an abundant number, since it is smaller than the sum of its proper divisors (232433832409944).

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

68319313920000 is an frugal number, since it uses more digits than its factorization.

68319313920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 68319313920000 in words is "sixty-eight trillion, three hundred nineteen billion, three hundred thirteen million, nine hundred twenty thousand".