67086645906984 has 256 divisors, whose sum is σ = 192014221178880. Its totient is φ = 19334084689920.

The previous prime is 67086645906919. The next prime is 67086645906991. The reversal of 67086645906984 is 48960954668076.

67086645906984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 853556392 + ... + 853634984.

It is an arithmetic number, because the mean of its divisors is an integer number (750055551480).

Almost surely, 2^{67086645906984} 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 67086645906984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96007110589440).

67086645906984 is an abundant number, since it is smaller than the sum of its proper divisors (124927575271896).

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

67086645906984 is a wasteful number, since it uses less digits than its factorization.

67086645906984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79440 (or 79436 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 78.

The spelling of 67086645906984 in words is "sixty-seven trillion, eighty-six billion, six hundred forty-five million, nine hundred six thousand, nine hundred eighty-four".