68833609920000 has 400 divisors, whose sum is σ = 254608862896080. Its totient is φ = 18355627008000.

The previous prime is 68833609919983. The next prime is 68833609920071. The reversal of 68833609920000 is 2990633886.

68833609920000 is a `hidden beast` number, since 6 + 8 + 8 + 3 + 3 + 609 + 9 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4656574 + ... + 12623426.

Almost surely, 2^{68833609920000} is an apocalyptic number.

68833609920000 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 68833609920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304431448040).

68833609920000 is an abundant number, since it is smaller than the sum of its proper divisors (185775252976080).

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

68833609920000 is an frugal number, since it uses more digits than its factorization.

68833609920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966900 (or 7966863 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 68833609920000 in words is "sixty-eight trillion, eight hundred thirty-three billion, six hundred nine million, nine hundred twenty thousand".