4676683455761 has 2 divisors, whose sum is σ = 4676683455762. Its totient is φ = 4676683455760.

The previous prime is 4676683455713. The next prime is 4676683455767. The reversal of 4676683455761 is 1675543866764.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3471957695761 + 1204725760000 = 1863319^2 + 1097600^2 .

It is a cyclic number.

It is not a de Polignac number, because 4676683455761 - 2³⁸ = 4401805548817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4676683455691 and 4676683455700.

It is not a weakly prime, because it can be changed into another prime (4676683455767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2338341727880 + 2338341727881.

It is an arithmetic number, because the mean of its divisors is an integer number (2338341727881).

Almost surely, 2^{4676683455761} is an apocalyptic number.

It is an amenable number.

4676683455761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4676683455761 is an equidigital number, since it uses as much as digits as its factorization.

4676683455761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 609638400, while the sum is 68.

The spelling of 4676683455761 in words is "four trillion, six hundred seventy-six billion, six hundred eighty-three million, four hundred fifty-five thousand, seven hundred sixty-one".