I watched it a couple weeks ago. You know it's a great piece when you know the outcome of the history, but still feel the tension and wonder how/if they are going to make it back.
Of all the little inconsequential details that most people don't know or have forgotten, the one that stood out for me was the use of the word "mathematics", not "math", the mark of a serious engineer pre-internet. :)
And being a computer engineer myself, listening to them send just numbers back and forth... that was something else, that was a wow moment for me. You always hear how NASA landed on the moon using computers less powerful than a modern pocket calculator, but actually watching them "do the math", sorry, "do the mathematics", that was something else.