67795140625 has 21 divisors (see below), whose sum is σ = 84783543663. Its totient is φ = 54210075000.

The previous prime is 67795140587. The next prime is 67795140629. The reversal of 67795140625 is 52604159776.

The square root of 67795140625 is 260375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 59395051521 + 8400089104 = 243711^2 + 91652^2 .

It is not a de Polignac number, because 67795140625 - 2²¹ = 67793043473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67795140629) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 32545834 + ... + 32547916.

It is an arithmetic number, because the mean of its divisors is an integer number (4037311603).

Almost surely, 2^67795140625 is an apocalyptic number.

67795140625 is the 260375-th square number.

67795140625 is the 130188-th centered octagonal number.

It is an amenable number.

67795140625 is a deficient number, since it is larger than the sum of its proper divisors (16988403038).

67795140625 is an frugal number, since it uses more digits than its factorization.

67795140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 67795140625 in words is "sixty-seven billion, seven hundred ninety-five million, one hundred forty thousand, six hundred twenty-five".