A novel soybean cultivar, designated 0487681, is disclosed. The invention relates to the seeds of soybean cultivar 0487681, to the plants of soybean 0487681 and to methods for producing a soybean plant produced by crossing the cultivar 0487681 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 0487681 with another soybean cultivar.