481432067568 has 240 divisors, whose sum is σ = 1444056681600. Its totient is φ = 149271621120.

The previous prime is 481432067563. The next prime is 481432067573. The reversal of 481432067568 is 865760234184.

It is a happy number.

481432067568 is a `hidden beast` number, since 4 + 8 + 14 + 3 + 2 + 0 + 67 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (481432067563) and next prime (481432067573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481432067563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199680283 + ... + 199682693.

It is an arithmetic number, because the mean of its divisors is an integer number (6016902840).

Almost surely, 2^481432067568 is an apocalyptic number.

481432067568 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 481432067568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722028340800).

481432067568 is an abundant number, since it is smaller than the sum of its proper divisors (962624614032).

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

481432067568 is a wasteful number, since it uses less digits than its factorization.

481432067568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 481432067568 in words is "four hundred eighty-one billion, four hundred thirty-two million, sixty-seven thousand, five hundred sixty-eight".