That's probably DLI (day light integral) instead of PPFD because it is per day, so you need this conversion first before OZpaph's conversion. https://en.wikipedia.org/wiki/Daily_light_integral
I'm guessing micro is a typo. If it is 8.4mol/m^2/day, then under 12h of constant (i.e. artificial light), 97.2 micromol/m^2/s of PPFD will give the amount. That's about Paph/Phal level light. If 'micro' is not a typo, it is practically pitch black.