The Collaborative International Dictionary of English v.0.48:

heaps \heaps\ n.
   a large quantity. See heap, senses 2 and 3; as, he made
   heaps of money in the stock market.

   Syn: tons, dozens, lots, piles, scores, stacks, loads, rafts,
        slews, wads, oodles, gobs, scads, lashings.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

heaps
    adv 1: very much; "thanks heaps"
    n 1: a large number or amount; "made lots of new friends"; "she
         amassed stacks of newspapers" [syn: tons, dozens,
         heaps, lots, piles, scores, stacks, loads,
         rafts, slews, wads, oodles, gobs, scads,
         lashings]