Here, we demonstrate an all-fiberized, purely passive SW (1018nm) random-distributed-feedback fiber laser (RFLs) to validate the capability of achieving high-power output at SWs based on direct pumping by multimode LDs. Directly pumped by multimode LDs, the high-brightness RFLs delivered over 656 W, with an electro-optical efficiency of 20% relative to the injected pump power. The slope efficiency is 94%. The beam quality M2 factor is 2.9 (which is ~20 of pump) at the maximum output signal power, achieving the highest brightness enhancement (BE) of 14.9 in RFLs. To the best of our knowledge, this achievement also represents the highest power record of RFLs utilizing multimode diodes for directly pumping. This work may not only provide a new insight into the realization of high-power, high-brightness RFLs but also is a promising contender in the power scaling on SWs below 1 µm.