$4044*4044 = 16353936$

It is known the quadratic equation ${ x }^{ 2 }\quad -\quad x\quad -\quad 1635798016357980\quad =\quad 0$ The quadratic equation can be rewritten as $(x\quad -\quad \alpha )(x\quad -\quad \beta )\quad =\quad 0$ whereas $\alpha \quad >\quad \beta$ . Calculate the result of $\frac { \alpha \quad +\quad 4\left\lfloor { \alpha }^{ \frac { 1 }{ 2 } } \right\rfloor \quad -\quad { \alpha }^{ 0 } }{ \left\lfloor \frac { { \beta }^{ 2 } }{ 4000 } \right\rfloor \quad -\quad \left\lceil \frac { \beta }{ 800 } \right\rceil \quad +\quad { \left| { \beta }^{ 0 } \right| } }$

Try not to use a calculator, however you may use the fact that is in the title of this question