4668436427677 has 12 divisors (see below), whose sum is σ = 5157469711548. Its totient is φ = 4222489779200.

The previous prime is 4668436427623. The next prime is 4668436427689. The reversal of 4668436427677 is 7767246348664.

It can be written as a sum of positive squares in 2 ways, for example, as 2787901429401 + 1880534998276 = 1669701^2 + 1371326^2 .

It is not a de Polignac number, because 4668436427677 - 2³⁵ = 4634076689309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668436427077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97900324 + ... + 97947997.

It is an arithmetic number, because the mean of its divisors is an integer number (429789142629).

Almost surely, 2^{4668436427677} is an apocalyptic number.

It is an amenable number.

4668436427677 is a deficient number, since it is larger than the sum of its proper divisors (489033283871).

4668436427677 is a wasteful number, since it uses less digits than its factorization.

4668436427677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195848540 (or 195848529 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 70.

The spelling of 4668436427677 in words is "four trillion, six hundred sixty-eight billion, four hundred thirty-six million, four hundred twenty-seven thousand, six hundred seventy-seven".