482624959680 has 168 divisors, whose sum is σ = 1700517690144. Its totient is φ = 125560934400.

The previous prime is 482624959679. The next prime is 482624959703. The reversal of 482624959680 is 86959426284.

482624959680 is a `hidden beast` number, since 4 + 8 + 2 + 62 + 495 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×482624959680² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1925556 + ... + 2161715.

It is an arithmetic number, because the mean of its divisors is an integer number (10122129108).

Almost surely, 2^482624959680 is an apocalyptic number.

482624959680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482624959680 is an abundant number, since it is smaller than the sum of its proper divisors (1217892730464).

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

482624959680 is a wasteful number, since it uses less digits than its factorization.

482624959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087335 (or 4087322 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 482624959680 in words is "four hundred eighty-two billion, six hundred twenty-four million, nine hundred fifty-nine thousand, six hundred eighty".