It’s new by German standards—late 19th century—but the neo-Renaissance City Hall with 647 rooms makes quite an impression nonetheless, a sandstone testimony to Hamburg’s wealth and importance. The 49m (161-ft.) clock tower looms high above the Rathausmarkt and the Alster Fleet, the city’s largest canal. Tours through grandiose staterooms embellished with tapestries and glittering chandeliers are given hourly, but this pile is just as satisfyingly admired from the outside—unless you are detail-oriented and might enjoy hearing about the 3,780 pinewood piles upon which the block-long structure rests or the 8,605 souls who perished in the 1897 cholera epidemic and are commemorated by a gurgling fountain. The 16th-century Börse (Stock Exchange), Adolphsplatz 1 ([tel] 040/361-3020), stands back to back with the Rathaus; guides conduct free tours (in German) of the Börse on Tuesday and Thursday at 11am and noon. Should this brush with capitalism inspire you to disperse some of your own wealth, cross the Alster Fleet to the Alsterarkaden, an arched passageway lined with fashionable clothing and jewelry shops.