481669827840 has 432 divisors, whose sum is σ = 1687026519360. Its totient is φ = 126875566080.

The previous prime is 481669827817. The next prime is 481669827853. The reversal of 481669827840 is 48728966184.

481669827840 is a `hidden beast` number, since 481 + 6 + 6 + 9 + 82 + 78 + 4 + 0 = 666.

It is a super-4 number, since 4×481669827840⁴ (a number of 48 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 373097595 + ... + 373098885.

It is an arithmetic number, because the mean of its divisors is an integer number (3905153980).

Almost surely, 2^481669827840 is an apocalyptic number.

481669827840 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 481669827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843513259680).

481669827840 is an abundant number, since it is smaller than the sum of its proper divisors (1205356691520).

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

481669827840 is a wasteful number, since it uses less digits than its factorization.

481669827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 481669827840 in words is "four hundred eighty-one billion, six hundred sixty-nine million, eight hundred twenty-seven thousand, eight hundred forty".