No other nation has as much influence until modern times.
Not really.
After the Roman empire, the following nations had massive cultural and demographic impact on the world
Tang dynasty China
The Chola dynasty which spread indic culture to south east Asia
The Ummayyad dynasty of Caliph
The Mongols
The mughal empire
Timur e langs empire
Manchu dynasty China
The Spanish
Tye Portuguese
Until tye French and English empires