The word arithmetically is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 26
Highest Scoring Words With Friends™ Play In The Letters arithmetically
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Seven Letter Word Alert: (99 words)
acatery, achiral, acylate, aircell, airmail, airtime, alchemy, alertly, alethic, allayer, alltime, archeal, archlet, article, arylate, attache, caramel, cattail, cattery, cattier, cattily, charily, charity, chattel, chatter, chiller, chimera, ciliary, ciliate, citrate, claimer, clarity, clatter, clayier, clearly, climate, clitter, cyathia, earthly, ecthyma, emacity, ethical, helical, hellcat, hyalite, icetray, imitate, irately, itchier, lactate, lacteal, lateral, lathery, lattice, laytime, limelit, limiter, literal, lithely, littler, lyrical, mailcar, maltier, marital, marlite, martial, matcher, meatily, metical, micella, militar, miracle, mycelia, mycetal, ratchet, rattail, reality, rechill, recital, reclaim, rematch, retally, tacitly, tactile, tallier, teacart, tearily, tertial, thalami, thermal, thermic, thrilly, thymier, titmice, trachea, tramell, treacly, yachter, yachtie