What you are describing happens every day, and is a great example of some of the illusions you get when flying. That particular departure threads its way through other traffic, so having another aircraft go right over you, quite closely, is normal.
It's most evident in the 767s. You've been climbing steeply, and simultaneously accelerating. They reach their cleared altitude, and push the nose down quite a way to hold level. The acceleration momentarily increases, until they approach the speed limit of 250 knots, at which point the power is dramatically reduced. Shortly thereafter, you'll have passed under the arrival track, and the power goes up again, and back into a normal climb.
Thanks JB for the reply.