727668866727 has 72 divisors (see below), whose sum is σ = 1192022395200. Its totient is φ = 427210692480.

The previous prime is 727668866707. The next prime is 727668866741.

727668866727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 727668866727 - 2¹⁵ = 727668833959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727668866707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4479849 + ... + 4639437.

It is an arithmetic number, because the mean of its divisors is an integer number (16555866600).

Almost surely, 2^727668866727 is an apocalyptic number.

727668866727 is a deficient number, since it is larger than the sum of its proper divisors (464353528473).

727668866727 is a wasteful number, since it uses less digits than its factorization.

727668866727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159749 (or 159735 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 727668866727 in words is "seven hundred twenty-seven billion, six hundred sixty-eight million, eight hundred sixty-six thousand, seven hundred twenty-seven".