67873275625 has 45 divisors (see below), whose sum is σ = 90244222761. Its totient is φ = 51021216000.

The previous prime is 67873275619. The next prime is 67873275637. The reversal of 67873275625 is 52657237876.

The square root of 67873275625 is 260525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 38589852249 + 29283423376 = 196443^2 + 171124^2 .

It is not a de Polignac number, because 67873275625 - 2¹⁷ = 67873144553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67873275625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 110722819 + ... + 110723431.

Almost surely, 2^67873275625 is an apocalyptic number.

67873275625 is the 260525-th square number.

67873275625 is the 130263-rd centered octagonal number.

It is an amenable number.

67873275625 is a deficient number, since it is larger than the sum of its proper divisors (22370947136).

67873275625 is an frugal number, since it uses more digits than its factorization.

67873275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 635 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 58.

The spelling of 67873275625 in words is "sixty-seven billion, eight hundred seventy-three million, two hundred seventy-five thousand, six hundred twenty-five".