If you haven't seen orders that big on the Qs then you must not look at it very often. I trade the Qs every single day...and 100k share taken at the bid or ask is NOT unusual. Like I said before there are many times in the day when there are 400k-500k on the bid and ask...not all the time...but 100k-200k is pretty routine.
Do the math. 70,000,000 divided by 6.5 (hours in a trading day) = 10,769,230. Which is an average of over 10 million Qs traded every single hour. Divide that by 60 minutes and you have over 170k average traded every single minute. You can easily buy 100k in a minute and not move the Qs by more than a penny.