481585668480 has 1280 divisors, whose sum is σ = 2021797324800. Its totient is φ = 106981834752.

The previous prime is 481585668437. The next prime is 481585668517. The reversal of 481585668480 is 84866585184.

481585668480 is a `hidden beast` number, since 4 + 8 + 1 + 585 + 6 + 6 + 8 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3067424562 + ... + 3067424718.

It is an arithmetic number, because the mean of its divisors is an integer number (1579529160).

Almost surely, 2^481585668480 is an apocalyptic number.

481585668480 is a gapful number since it is divisible by the number (40) 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 481585668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010898662400).

481585668480 is an abundant number, since it is smaller than the sum of its proper divisors (1540211656320).

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

481585668480 is a wasteful number, since it uses less digits than its factorization.

481585668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 481585668480 in words is "four hundred eighty-one billion, five hundred eighty-five million, six hundred sixty-eight thousand, four hundred eighty".