67316760343104 has 224 divisors, whose sum is σ = 181328855828736. Its totient is φ = 22037269708800.

The previous prime is 67316760343097. The next prime is 67316760343117. The reversal of 67316760343104 is 40134306761376.

67316760343104 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 31 ways as a sum of consecutive naturals, for example, 1869217002 + ... + 1869253014.

It is an arithmetic number, because the mean of its divisors is an integer number (809503820664).

Almost surely, 2^{67316760343104} is an apocalyptic number.

67316760343104 is a gapful number since it is divisible by the number (64) 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 67316760343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90664427914368).

67316760343104 is an abundant number, since it is smaller than the sum of its proper divisors (114012095485632).

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

67316760343104 is a wasteful number, since it uses less digits than its factorization.

67316760343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36893 (or 36883 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 67316760343104 in words is "sixty-seven trillion, three hundred sixteen billion, seven hundred sixty million, three hundred forty-three thousand, one hundred four".