481758355680 has 192 divisors, whose sum is σ = 1740594562560. Its totient is φ = 109718452224.

The previous prime is 481758355679. The next prime is 481758355693. The reversal of 481758355680 is 86553857184.

It is a super-2 number, since 2×481758355680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 671911 + ... + 1189529.

It is an arithmetic number, because the mean of its divisors is an integer number (9065596680).

Almost surely, 2^481758355680 is an apocalyptic number.

481758355680 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 481758355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870297281280).

481758355680 is an abundant number, since it is smaller than the sum of its proper divisors (1258836206880).

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

481758355680 is a wasteful number, since it uses less digits than its factorization.

481758355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517921 (or 517913 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 60.

The spelling of 481758355680 in words is "four hundred eighty-one billion, seven hundred fifty-eight million, three hundred fifty-five thousand, six hundred eighty".