67945439016000 has 1344 divisors, whose sum is σ = 304046860755456. Its totient is φ = 14100645888000.

The previous prime is 67945439015983. The next prime is 67945439016047. The reversal of 67945439016000 is 61093454976.

67945439016000 is a `hidden beast` number, since 6 + 7 + 9 + 4 + 543 + 90 + 1 + 6 + 0 + 0 + 0 = 666.

67945439016000 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 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, 399586999 + ... + 399757001.

It is an arithmetic number, because the mean of its divisors is an integer number (226225342824).

Almost surely, 2^{67945439016000} is an apocalyptic number.

67945439016000 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 67945439016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152023430377728).

67945439016000 is an abundant number, since it is smaller than the sum of its proper divisors (236101421739456).

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

67945439016000 is a wasteful number, since it uses less digits than its factorization.

67945439016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170117 (or 170094 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 67945439016000 in words is "sixty-seven trillion, nine hundred forty-five billion, four hundred thirty-nine million, sixteen thousand".