Sorry, I should have been more clear: I just dislike the use of "billions!!!" when what should be discussed is either qps (system load) or daily-active users (engagement).
You could guesstimate DAU from qps by choosing a "queries per day" number (e.g., 10?) and assume the queries are done over just 8 hours. That's 1.25 queries per hour per user. Multiplying these terms out, you get ~500k DAU.