482767915968 has 560 divisors, whose sum is σ = 1638680329440. Its totient is φ = 139218518016.

The previous prime is 482767915963. The next prime is 482767915997. The reversal of 482767915968 is 869519767284.

482767915968 is a `hidden beast` number, since 4 + 8 + 27 + 6 + 7 + 9 + 1 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 482767915896 and 482767915905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482767915963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324222168 + ... + 324223656.

It is an arithmetic number, because the mean of its divisors is an integer number (2926214874).

Almost surely, 2^482767915968 is an apocalyptic number.

482767915968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482767915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819340164720).

482767915968 is an abundant number, since it is smaller than the sum of its proper divisors (1155912413472).

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

482767915968 is a wasteful number, since it uses less digits than its factorization.

482767915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1807 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 482767915968 in words is "four hundred eighty-two billion, seven hundred sixty-seven million, nine hundred fifteen thousand, nine hundred sixty-eight".