this solution is based on the formula
 
   log(a_1) + log(a_2) + .. + log(a_n) = log( a_1*a_2*..*a_n) for a_i > 0 (i=1,..,n)
 
and thus the product could be expressed via the sum(), log() and the power() function.
Are all of your numbers > 0 ?
 
 
drop table prod;
create table prod (
   num   number(5)
   );
   
   
insert into prod ( num ) values ( 1 );
insert into prod ( num ) values ( 2 );
insert into prod ( num ) values ( 3 );
insert into prod ( num ) values ( 4 );
insert into prod ( num ) values ( 5 );
insert into prod ( num ) values ( 6 );
commit;
 
 
select power( 10, sum( log( 10, num ) ) ) product from prod;
   PRODUCT
----------
       720