480759413760 has 1056 divisors, whose sum is σ = 1834753939200. Its totient is φ = 115971194880.

The previous prime is 480759413621. The next prime is 480759413773. The reversal of 480759413760 is 67314957084.

480759413760 is a `hidden beast` number, since 48 + 0 + 7 + 594 + 1 + 3 + 7 + 6 + 0 = 666.

It is a super-3 number, since 3×480759413760³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480759413697 and 480759413706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2117882767 + ... + 2117882993.

Almost surely, 2^480759413760 is an apocalyptic number.

480759413760 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 480759413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917376969600).

480759413760 is an abundant number, since it is smaller than the sum of its proper divisors (1353994525440).

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

480759413760 is a wasteful number, since it uses less digits than its factorization.

480759413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 480759413760 in words is "four hundred eighty billion, seven hundred fifty-nine million, four hundred thirteen thousand, seven hundred sixty".