480824818707366 has 24 divisors (see below), whose sum is σ = 1190613836799504. Its totient is φ = 137378519630640.

The previous prime is 480824818707347. The next prime is 480824818707433. The reversal of 480824818707366 is 663707818428084.

480824818707366 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 481 + 8 + 70 + 73 + 6 + 6 = 666.

It is a super-3 number, since 3×480824818707366³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480824818707294 and 480824818707303.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1908034994745 + ... + 1908034994996.

It is an arithmetic number, because the mean of its divisors is an integer number (49608909866646).

Almost surely, 2^{480824818707366} is an apocalyptic number.

480824818707366 is an abundant number, since it is smaller than the sum of its proper divisors (709789018092138).

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

480824818707366 is a wasteful number, since it uses less digits than its factorization.

480824818707366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816069989756 (or 3816069989753 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 480824818707366 in words is "four hundred eighty trillion, eight hundred twenty-four billion, eight hundred eighteen million, seven hundred seven thousand, three hundred sixty-six".