No. The age of the earth is not clearly stated in the Bible.
However, according to young-earth creationists (like myself), it can be derived, assuming that the word "Day" in Genesis means a literal day, and that the genealogies are accurate.
Adding up the genealogies can give an age of about 6,000 years, but there are some gaps in the genealogies, and even among young-earth creationists, there is room for 6,000-10,000 years of history. The most literal interpretation puts the age at about 6,000 years.
Of course, there are those that hold to the day-age theory (the days in Genesis can be interpreted as "time periods") and the Gap theory (there is a gap between the creation of the universe and the arrival of man). These each throw age estimation out the window, and allow for a much older earth. Also, there are those who believe in theistic evolution, or that the Genesis account is not to be taken literally. These also throw the young earth idea out the window.
As far as other references in the Bible, again, nothing direct but Jesus did say:
Mark 10:6 (KJV) But from the beginning of the creation God made them male and female.
Young-earth Biblical literalists (such as myself) would say that this is indication that Jesus Himself considered Adam and Eve as having been created "at the beginning of creation", ruling out the gap and day-age theories. Again, there is much disagreement on this.