67868003915712 has 1344 divisors, whose sum is σ = 282640778993664. Its totient is φ = 15564486389760.

The previous prime is 67868003915687. The next prime is 67868003915773. The reversal of 67868003915712 is 21751930086876.

67868003915712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 67868003915712.

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 191 ways as a sum of consecutive naturals, for example, 357958923 + ... + 358148469.

It is an arithmetic number, because the mean of its divisors is an integer number (210298198656).

Almost surely, 2^{67868003915712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67868003915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141320389496832).

67868003915712 is an abundant number, since it is smaller than the sum of its proper divisors (214772775077952).

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

67868003915712 is a wasteful number, since it uses less digits than its factorization.

67868003915712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189628 (or 189606 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 67868003915712 in words is "sixty-seven trillion, eight hundred sixty-eight billion, three million, nine hundred fifteen thousand, seven hundred twelve".