67564644625 has 32 divisors (see below), whose sum is σ = 86490312480. Its totient is φ = 52677216000.

The previous prime is 67564644607. The next prime is 67564644673. The reversal of 67564644625 is 52644646576.

It is a Cunningham number, because it is equal to 259932²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 65367660241 + 2196984384 = 255671^2 + 46872^2 .

It is not a de Polignac number, because 67564644625 - 2⁵ = 67564644593 is a prime.

It is a Smith number, since the sum of its digits (55) 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790479 + ... + 871771.

It is an arithmetic number, because the mean of its divisors is an integer number (2702822265).

Almost surely, 2^67564644625 is an apocalyptic number.

It is an amenable number.

67564644625 is a deficient number, since it is larger than the sum of its proper divisors (18925667855).

67564644625 is a wasteful number, since it uses less digits than its factorization.

67564644625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81478 (or 81468 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 55.

The spelling of 67564644625 in words is "sixty-seven billion, five hundred sixty-four million, six hundred forty-four thousand, six hundred twenty-five".