480642370065 has 96 divisors (see below), whose sum is σ = 980997937920. Its totient is φ = 214621401600.

The previous prime is 480642370037. The next prime is 480642370097. The reversal of 480642370065 is 560073246084.

480642370065 is a `hidden beast` number, since 480 + 6 + 42 + 3 + 70 + 0 + 65 = 666.

It is not a de Polignac number, because 480642370065 - 2¹² = 480642365969 is a prime.

It is a super-3 number, since 3×480642370065³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 480642370065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2739895 + ... + 2910035.

It is an arithmetic number, because the mean of its divisors is an integer number (10218728520).

Almost surely, 2^480642370065 is an apocalyptic number.

480642370065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480642370065 is an abundant number, since it is smaller than the sum of its proper divisors (500355567855).

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

480642370065 is a wasteful number, since it uses less digits than its factorization.

480642370065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170615 (or 170612 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 480642370065 in words is "four hundred eighty billion, six hundred forty-two million, three hundred seventy thousand, sixty-five".