Twitter reports that its users are sent an average of 140M tweets a day last month. That adds up to a billion a week, in round numbers. Another impressive statistic their post cites is that last month saw an average of 460K new Twitter accounts per day. Both numbers are very impressive.
Liz Gannes comments on the fact that Twitter does not report on the total number of users it has or how many of these are active. The number of users is thought to be over 200M, but I recall data that is now over a year old estimating that 40% of the users have made no tweets and 80% have made fewer that 10 tweets. Maybe the bulk of those 460K new users a day are signing up to follow @charliesheen.