4627795973617 has 2 divisors, whose sum is σ = 4627795973618. Its totient is φ = 4627795973616.

The previous prime is 4627795973599. The next prime is 4627795973653. The reversal of 4627795973617 is 7163795977264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3152059363216 + 1475736610401 = 1775404^2 + 1214799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4627795973617 is a prime.

It is a super-3 number, since 3×4627795973617³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4627795973617.

It is not a weakly prime, because it can be changed into another prime (4627795973657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2313897986808 + 2313897986809.

It is an arithmetic number, because the mean of its divisors is an integer number (2313897986809).

Almost surely, 2^{4627795973617} is an apocalyptic number.

It is an amenable number.

4627795973617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4627795973617 is an equidigital number, since it uses as much as digits as its factorization.

4627795973617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840157920, while the sum is 73.

The spelling of 4627795973617 in words is "four trillion, six hundred twenty-seven billion, seven hundred ninety-five million, nine hundred seventy-three thousand, six hundred seventeen".