Based　on　Rabinovich　system,　a　4D　Rabinovich　system　is　generalized　to　study　hidden　attractors,　multiple　limit　cycles　and　boundedness　of　motion.　In　the　sense　of　coexisting　attractors,　the　remarkable　finding　is　that　the　proposed　system　has　hidden　hyperchaotic　attractors　around　a　unique　stable　equilibrium.　To　understand　the　complex　dynamics　of　the　system,　some　basic　properties,　such　as　Lyapunov　exponents,　and　the　way　of　producing　hidden　hyperchaos　are　analyzed　with　numerical　simulation.　Moreover,　it　is　proved　that　there　exist　four　small-amplitude　limit　cycles　bifurcating　from　the　unique　equilibrium　via　Hopf　bifurcation.　Finally,　boundedness　of　motion　of　the　hyperchaotic　attractors　is　rigorously　proved.