The Carlyle ran out of cocktail glasses for the first time in its history on Tony night as staff tried to keep up with an unquenchable demand for booze while winners toasted, losers drowned their sorrows and parties raged upstairs and down.

In the Empire Suite, gravel-throated “Casa Valentina” playwright Harvey Fierstein beckoned, “Du-lay. Du-layyy!” from a bed that he was lounging on when “After Midnight” star Dulé Hill passed by.

Café Carlyle was transformed into a disco, where Pia Zadora held court (“Like back in the day at Chez Régine’s,” a spy said), and the cast of “Beautiful: The Carole King Musical” hung out at Bemelmans Bar.

At 3 a.m., a “high tea” toasting “A Gentleman’s Guide to Love & Murder” turned into a Long Island iced tea party, and the hotel had to break out plastic cups.

The Carlyle bashes were hosted by O&M Co.

RuPaul was among the first to arrive at The Plaza for an official after-party and danced solo in a hot pink satin tux jacket.

Lucy Liu bravely balled up her flowing Nicholas Kirkwood gown in her arms to safely ride an escalator in what could have been a fashion emergency.

Buzz was Anna Wintour was brought onboard to make the Tonys more chic.

But a source sniffed, “Anna was not an advisor. She is a big supporter of the awards.”