The Comptroller shall have the general superintendence of the fiscal affairs of the State; he shall digest and prepare plans for the improvement and management of the revenue, and for the support of the public credit; prepare and report estimates of the revenue and expenditures of the State; superintend and enforce the prompt collection of all taxes and revenue; adjust and settle, on terms prescribed by law, with delinquent collectors and receivers of taxes and State revenue; preserve all public accounts; and decide on the forms of keeping and stating accounts. He, or such of his deputies as may be authorized to do so by the Legislature, shall grant, under regulations prescribed by Law, all warrants for money to be paid out of the Treasury, in pursuance of appropriations by law, and countersign all checks drawn by the Treasurer upon any bank or banks in which the moneys of the State, may, from time to time, be deposited. He shall prescribe the formalities of the transfer of stock, or other evidence of the State debt, and countersign the same, without which such evidence shall not be valid; he shall make to the General Assembly full reports of all his proceedings, and of the state of the Treasury Department within ten days after the commencement of each session; and perform such other duties as shall be prescribed by law.