67831980336000 has 896 divisors, whose sum is σ = 253066575434400. Its totient is φ = 18073414656000.

The previous prime is 67831980335941. The next prime is 67831980336011. The reversal of 67831980336000 is 63308913876.

67831980336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24855982636 + ... + 24855985364.

Almost surely, 2^{67831980336000} is an apocalyptic number.

67831980336000 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 67831980336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126533287717200).

67831980336000 is an abundant number, since it is smaller than the sum of its proper divisors (185234595098400).

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

67831980336000 is an equidigital number, since it uses as much as digits as its factorization.

67831980336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 67831980336000 in words is "sixty-seven trillion, eight hundred thirty-one billion, nine hundred eighty million, three hundred thirty-six thousand".