4677339803777 has 2 divisors, whose sum is σ = 4677339803778. Its totient is φ = 4677339803776.

The previous prime is 4677339803729. The next prime is 4677339803779. The reversal of 4677339803777 is 7773089337764.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4581209421376 + 96130382401 = 2140376^2 + 310049^2 .

It is a cyclic number.

It is not a de Polignac number, because 4677339803777 - 2¹⁶ = 4677339738241 is a prime.

Together with 4677339803779, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4677339803777.

It is not a weakly prime, because it can be changed into another prime (4677339803779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2338669901888 + 2338669901889.

It is an arithmetic number, because the mean of its divisors is an integer number (2338669901889).

Almost surely, 2^{4677339803777} is an apocalyptic number.

It is an amenable number.

4677339803777 is a deficient number, since it is larger than the sum of its proper divisors (1).

4677339803777 is an equidigital number, since it uses as much as digits as its factorization.

4677339803777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784147392, while the sum is 71.

The spelling of 4677339803777 in words is "four trillion, six hundred seventy-seven billion, three hundred thirty-nine million, eight hundred three thousand, seven hundred seventy-seven".