67643687056 has 135 divisors (see below), whose sum is σ = 151181219833. Its totient is φ = 29295861760.

The previous prime is 67643686997. The next prime is 67643687071. The reversal of 67643687056 is 65078634676.

It is a happy number.

The square root of 67643687056 is 260084.

It is a perfect power (a square), and thus also a powerful number.

67643687056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 66594963600 + 1048723456 = 258060^2 + 32384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263204880 + ... + 263205136.

Almost surely, 2^67643687056 is an apocalyptic number.

67643687056 is the 260084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67643687056

67643687056 is an abundant number, since it is smaller than the sum of its proper divisors (83537532777).

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

67643687056 is a wasteful number, since it uses less digits than its factorization.

67643687056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 67643687056 in words is "sixty-seven billion, six hundred forty-three million, six hundred eighty-seven thousand, fifty-six".