482208775776 has 576 divisors, whose sum is σ = 1767907330560. Its totient is φ = 126743823360.

The previous prime is 482208775771. The next prime is 482208775799. The reversal of 482208775776 is 677577802284.

It is a happy number.

482208775776 is a `hidden beast` number, since 482 + 2 + 0 + 87 + 7 + 5 + 7 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482208775771) 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 95 ways as a sum of consecutive naturals, for example, 182170485 + ... + 182173131.

It is an arithmetic number, because the mean of its divisors is an integer number (3069283560).

Almost surely, 2^482208775776 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 482208775776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883953665280).

482208775776 is an abundant number, since it is smaller than the sum of its proper divisors (1285698554784).

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

482208775776 is a wasteful number, since it uses less digits than its factorization.

482208775776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 482208775776 in words is "four hundred eighty-two billion, two hundred eight million, seven hundred seventy-five thousand, seven hundred seventy-six".