480941369636 has 96 divisors (see below), whose sum is σ = 1081346112000. Its totient is φ = 181917103104.

The previous prime is 480941369621. The next prime is 480941369687. The reversal of 480941369636 is 636963149084.

It is a super-3 number, since 3×480941369636³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23741240 + ... + 23761488.

It is an arithmetic number, because the mean of its divisors is an integer number (11264022000).

Almost surely, 2^480941369636 is an apocalyptic number.

480941369636 is a gapful number since it is divisible by the number (46) 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 480941369636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540673056000).

480941369636 is an abundant number, since it is smaller than the sum of its proper divisors (600404742364).

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

480941369636 is a wasteful number, since it uses less digits than its factorization.

480941369636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23133 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 59.

The spelling of 480941369636 in words is "four hundred eighty billion, nine hundred forty-one million, three hundred sixty-nine thousand, six hundred thirty-six".