480847708720720 has 160 divisors (see below), whose sum is σ = 1223135779656960. Its totient is φ = 174347518033920.

The previous prime is 480847708720597. The next prime is 480847708720811. The reversal of 480847708720720 is 27027807748084.

It is a super-3 number, since 3×480847708720720³ (a number of 45 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323660461 + ... + 6323736499.

It is an arithmetic number, because the mean of its divisors is an integer number (7644598622856).

Almost surely, 2^{480847708720720} is an apocalyptic number.

480847708720720 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 480847708720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611567889828480).

480847708720720 is an abundant number, since it is smaller than the sum of its proper divisors (742288070936240).

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

480847708720720 is a wasteful number, since it uses less digits than its factorization.

480847708720720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96773 (or 96767 counting only the distinct ones).

The product of its (nonzero) digits is 78675968, while the sum is 64.

The spelling of 480847708720720 in words is "four hundred eighty trillion, eight hundred forty-seven billion, seven hundred eight million, seven hundred twenty thousand, seven hundred twenty".