482757809760 has 240 divisors, whose sum is σ = 1735881141456. Its totient is φ = 126306266112.

The previous prime is 482757809759. The next prime is 482757809771. The reversal of 482757809760 is 67908757284.

482757809760 is a `hidden beast` number, since 482 + 7 + 5 + 7 + 8 + 0 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×482757809760³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335467 + ... + 1038293.

Almost surely, 2^482757809760 is an apocalyptic number.

482757809760 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 482757809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867940570728).

482757809760 is an abundant number, since it is smaller than the sum of its proper divisors (1253123331696).

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

482757809760 is a wasteful number, since it uses less digits than its factorization.

482757809760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702907 (or 702890 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 482757809760 in words is "four hundred eighty-two billion, seven hundred fifty-seven million, eight hundred nine thousand, seven hundred sixty".