An electric rotary razor anatomically configured for shaving the gluteal cleft, a delicate private part of a person's anatomy. The razor includes a small, narrow cutter head having one or more rotary cutting systems mounted so that the cutting surface is generally parallel to the length of the device to enable the cutter head to be positioned within and shave this specific region of the body. The razor comprises a handle, a cylindrical elongated neck, and a cutter head mounted to the neck that includes a cutting system having multiple cutting elements. The cutter head is permanent, the rotary cutting systems are disposable, and the neck may be permanent or detachable from the handle for interchange, thereby enabling the device to be safely and hygienically used on different persons.