481681879560 has 288 divisors, whose sum is σ = 1822402684440. Its totient is φ = 110017087488.

The previous prime is 481681879529. The next prime is 481681879561. The reversal of 481681879560 is 65978186184.

481681879560 is a `hidden beast` number, since 4 + 8 + 1 + 68 + 1 + 8 + 7 + 9 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481239113796 + 442765764 = 693714^2 + 21042^2 .

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

It is not an unprimeable number, because it can be changed into a prime (481681879561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25621524 + ... + 25640316.

Almost surely, 2^481681879560 is an apocalyptic number.

481681879560 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 481681879560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911201342220).

481681879560 is an abundant number, since it is smaller than the sum of its proper divisors (1340720804880).

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

481681879560 is a wasteful number, since it uses less digits than its factorization.

481681879560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20263 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 481681879560 in words is "four hundred eighty-one billion, six hundred eighty-one million, eight hundred seventy-nine thousand, five hundred sixty".