A World ruler. The world itself means “Turner of the Wheel,” the Wheel (Cakka) being the well known Indian symbol of empire. More than one thousand sons are his; his dominions extend throughout the earth to its ocean bounds; and is established not by the scourge, nor by the sword, but by righteousness. Particulars are found chiefly in the Mahāsudassana, Mahāpadāna, Cakkavattisīhanāda, Bālapaṇḍita and Ambaṭṭha Suttas. SN.v.98
From the Mahāpadāna Sutta it would appear that the birth of a Cakkavatti is attended by the same miracles as that of the birth of a Buddha.
Of the Seven Treasures of a Cakkavatti, the Cakkaratana is the chief. After the Wheel, other Treasures make their appearance: first the Elephant, Hatthiratana; it is either the youngest of the Chaddantā-kula or the oldest of the Uposatha-kula. Next the Horse, Assaratana, named Valāhaka, all white with crow black head, and dark mane, able to fly through the air. Then the Veḷuriya-gem from Vepullapabbata, with eight facets, the finest of its species, shedding light for a league around. This is followed by the Woman, belonging either to the royal family of Madda or of Uttarakuru, desirable in every way, both because of her physical beauty and her virtuous character. Then the Treasurer possessed of marvellous vision, enabling him to discover treasures, and then the Adviser, who is generally the Cakkavatti’s eldest son. DN.ii.174f.
Judging from the story of Mahāsudassana, who is the typical Cakkavatti, the World emperor has also four other gifts: a marvellous figure, a life longer than that of other men, good health, and popularity with all classes of his subjects. The perfume of sandalwood issues from his mouth, while his body is like a lily. When the Cakkavatti is about to die the Wheel slips down from its place and sinks down slightly. When the king sees this he leaves the household life, and retires into homelessness, to taste the joys of contemplation, having handed over the kingdom to his eldest son.
A Cakkavatti is as worthy of a thūpa as a Buddha. DN.ii.143