66329427025 has 27 divisors (see below), whose sum is σ = 86837223963. Its totient is φ = 50252180400.

The previous prime is 66329426953. The next prime is 66329427049. The reversal of 66329427025 is 52072492366.

The square root of 66329427025 is 257545.

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

It can be written as a sum of positive squares in only one way, i.e., 23878593729 + 42450833296 = 154527^2 + 206036^2 .

It is not a de Polignac number, because 66329427025 - 2²³ = 66321038417 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 24465420 + ... + 24468130.

Almost surely, 2^66329427025 is an apocalyptic number.

66329427025 is the 257545-th square number.

66329427025 is the 128773-rd centered octagonal number.

It is an amenable number.

66329427025 is a deficient number, since it is larger than the sum of its proper divisors (20507796938).

66329427025 is an frugal number, since it uses more digits than its factorization.

66329427025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 66329427025 in words is "sixty-six billion, three hundred twenty-nine million, four hundred twenty-seven thousand, twenty-five".