4967727745667 has 2 divisors, whose sum is σ = 4967727745668. Its totient is φ = 4967727745666.

The previous prime is 4967727745577. The next prime is 4967727745829. The reversal of 4967727745667 is 7665477277694.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4967727745667 is a prime.

It is not a weakly prime, because it can be changed into another prime (4967727745367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2483863872833 + 2483863872834.

It is an arithmetic number, because the mean of its divisors is an integer number (2483863872834).

Almost surely, 2^{4967727745667} is an apocalyptic number.

4967727745667 is a deficient number, since it is larger than the sum of its proper divisors (1).

4967727745667 is an equidigital number, since it uses as much as digits as its factorization.

4967727745667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5227649280, while the sum is 77.

The spelling of 4967727745667 in words is "four trillion, nine hundred sixty-seven billion, seven hundred twenty-seven million, seven hundred forty-five thousand, six hundred sixty-seven".