If that is too much depends on a lot of factors, like your height, your weight, how much of your diet is carbohydrates and fat, etc.?
Regardless of that, 9 egg whites for breakfast is a lot! 1 egg white is approx. 4 g of protein, depending on what else you eat with your breakfast that is 36 g of protein. The general consensus is that your body cannot absorb more than 20 g of protein per meal.
Anything additional will not build muscle. In fact, if you eat too much overall calories, doesn't matter if from fat, protein or carbs you will gain weight, and it is not muscle weight
aside from putting a strain on your kidneys.
I know this is not the popular opinion around here and I am probably going to get flamed but current research shows that anything more than 15 to 20 %, particulary from animal sources is detrimental to our health.
You may want to check out this calculator, it should give you a pretty good idea of how much you need based on your height, weight, total calories.
http://www.dietitian.com/calcbody.php
HTH