67564644624 has 45 divisors (see below), whose sum is σ = 189095894949. Its totient is φ = 22520508480.

The previous prime is 67564644607. The next prime is 67564644673. The reversal of 67564644624 is 42644646576.

The square root of 67564644624 is 259932.

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

67564644624 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 4 + 6 + 4 + 4 + 624 = 666.

67564644624 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., 21219166224 + 46345478400 = 145668^2 + 215280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3108354 + ... + 3130014.

Almost surely, 2^67564644624 is an apocalyptic number.

67564644624 is the 259932-nd square number.

It is an amenable number.

67564644624 is an abundant number, since it is smaller than the sum of its proper divisors (121531250325).

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

67564644624 is an frugal number, since it uses more digits than its factorization.

67564644624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43336 (or 21666 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 67564644624 in words is "sixty-seven billion, five hundred sixty-four million, six hundred forty-four thousand, six hundred twenty-four".