To solve the expression \( 353636363 + 6363636363662 - 373663636363 \times 53535 \), we will follow the order of operations (PEMDAS/BODMAS) which states we should perform multiplication first, followed by addition and subtraction.
Multiplication: \[ 373663636363 \times 53535 \] This calculation can be done using a calculator: \[ 373663636363 \times 53535 = 20026787561818001 \]
Addition and Subtraction: We now plug the result of the multiplication back into the expression: \[ 353636363 + 6363636363662 - 20026787561818001 \]
Compute the addition: \[ 353636363 + 6363636363662 = 6363980000025 \]
Now perform the subtraction: \[ 6363980000025 - 20026787561818001 \] This gives: \[ 6363980000025 - 20026787561818001 = -20020423581817776 \]
Thus, the final result is: \[ \boxed{-20020423581817776} \]