67689442368 has 336 divisors, whose sum is σ = 213884012160. Its totient is φ = 21152047104.

The previous prime is 67689442349. The next prime is 67689442409. The reversal of 67689442368 is 86324498676.

67689442368 is a `hidden beast` number, since 6 + 7 + 68 + 94 + 423 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132984898 + ... + 132985406.

It is an arithmetic number, because the mean of its divisors is an integer number (636559560).

Almost surely, 2^67689442368 is an apocalyptic number.

67689442368 is a gapful number since it is divisible by the number (68) 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 67689442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106942006080).

67689442368 is an abundant number, since it is smaller than the sum of its proper divisors (146194569792).

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

67689442368 is a wasteful number, since it uses less digits than its factorization.

67689442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 67689442368 in words is "sixty-seven billion, six hundred eighty-nine million, four hundred forty-two thousand, three hundred sixty-eight".