480818665527664 has 80 divisors (see below), whose sum is σ = 1029411444790080. Its totient is φ = 216400494182400.

The previous prime is 480818665527617. The next prime is 480818665527667. The reversal of 480818665527664 is 466725566818084.

It is a super-3 number, since 3×480818665527664³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480818665527667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40885564 + ... + 51315364.

It is an arithmetic number, because the mean of its divisors is an integer number (12867643059876).

Almost surely, 2^{480818665527664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480818665527664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514705722395040).

480818665527664 is an abundant number, since it is smaller than the sum of its proper divisors (548592779262416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480818665527664 is a wasteful number, since it uses less digits than its factorization.

480818665527664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437218 (or 10437212 counting only the distinct ones).

The product of its (nonzero) digits is 3715891200, while the sum is 76.

The spelling of 480818665527664 in words is "four hundred eighty trillion, eight hundred eighteen billion, six hundred sixty-five million, five hundred twenty-seven thousand, six hundred sixty-four".