UChicago is my dream school...chances?

I’m not going to list all of the endless clichés of why I wish to attend Uchicago, all I know is that I have an unparalleled passion for it. Please let me know my chances for Uchicago and other Ivy League schools considering my stats:
Girl
Croatian/white
Top girl in class of 520
Ranked 6th overall
4.0/4.0 or 4.5/5.0
APs:
World history
Bc calc
Lang
French
Chem
Comp gov
Physics
Stats

All A’s in all honors and AP’s since 7th grade

Marching band
Drumline
FHS HHS MHS SHS NHS Tri-M EHS
Varsity debate
Varsity tennis
Volunteer intern at fairfax hospital in VA
MUN SG
Welsley book award
Piano
Violin
Nationally recognized essay writer
Multiple places at science fair
Leadership conferences include West Point and Yale

Harvard legacy

2170 on SAT
710 W 730 CR 730 M

I speak 4 languages

What are my chances please? What can I do better?

What does “nationally recognized essay writer” mean?

You are competitive. What are your interests? Your essay writing, languages and leadership could help you stand out.

You’re a competitive applicant, it’s all about the essays from here. Good luck!
Chance me back please:
http://talk.collegeconfidential.com/discussion/comment/18676261#Comment_18676261