480369543094320 has 960 divisors, whose sum is σ = 1780249136762880. Its totient is φ = 106663772160000.

The previous prime is 480369543094307. The next prime is 480369543094321. The reversal of 480369543094320 is 23490345963084.

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

It is not an unprimeable number, because it can be changed into a prime (480369543094321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18763689520 + ... + 18763715120.

It is an arithmetic number, because the mean of its divisors is an integer number (1854426184128).

Almost surely, 2^{480369543094320} is an apocalyptic number.

480369543094320 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 480369543094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890124568381440).

480369543094320 is an abundant number, since it is smaller than the sum of its proper divisors (1299879593668560).

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

480369543094320 is a wasteful number, since it uses less digits than its factorization.

480369543094320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26786 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 480369543094320 in words is "four hundred eighty trillion, three hundred sixty-nine billion, five hundred forty-three million, ninety-four thousand, three hundred twenty".