66577603645 has 12 divisors (see below), whose sum is σ = 92936900124. Its totient is φ = 45653213760.

The previous prime is 66577603639. The next prime is 66577603679. The reversal of 66577603645 is 54630677566.

66577603645 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 2 ways, for example, as 18493008121 + 48084595524 = 135989^2 + 219282^2 .

It is not a de Polignac number, because 66577603645 - 2⁵ = 66577603613 is a prime.

It is a super-2 number, since 2×66577603645² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135872416 + ... + 135872905.

It is an arithmetic number, because the mean of its divisors is an integer number (7744741677).

Almost surely, 2^66577603645 is an apocalyptic number.

It is an amenable number.

66577603645 is a deficient number, since it is larger than the sum of its proper divisors (26359296479).

66577603645 is a wasteful number, since it uses less digits than its factorization.

66577603645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271745340 (or 271745333 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 55.

The spelling of 66577603645 in words is "sixty-six billion, five hundred seventy-seven million, six hundred three thousand, six hundred forty-five".