#5 song on the Billboard Pop Chart for April 4, 1964:

Please Please Me
The Beatles are the only band in history to hold each of the first 5 slots on the Billboard single charts.
Source: Newsday, 3/29/2005

 
   
  #4 song on the Billboard Pop Chart for April 4, 1964:

I Want to Hold Your Hand

Source: Newsday, 3/29/2005

 
   
  #3 song on the Billboard Pop Chart for April 4, 1964:

She Loves You

Source: Newsday, 3/29/2005

 
   
  #1 song on the Billboard Pop Chart for April 4, 1964 :

Can't Buy Me Love

Source: Newsday, 3/29/2005