67007013406128 has 400 divisors, whose sum is σ = 211514340787200. Its totient is φ = 20401338170880.

The previous prime is 67007013406061. The next prime is 67007013406141. The reversal of 67007013406128 is 82160431070076.

67007013406128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 205176375 + ... + 205502697.

It is an arithmetic number, because the mean of its divisors is an integer number (528785851968).

Almost surely, 2^{67007013406128} 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 67007013406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105757170393600).

67007013406128 is an abundant number, since it is smaller than the sum of its proper divisors (144507327381072).

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

67007013406128 is a wasteful number, since it uses less digits than its factorization.

67007013406128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326662 (or 326647 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67007013406128 in words is "sixty-seven trillion, seven billion, thirteen million, four hundred six thousand, one hundred twenty-eight".