506767282560 has 2304 divisors, whose sum is σ = 2390084236800. Its totient is φ = 98354995200.

The previous prime is 506767282513. The next prime is 506767282589. The reversal of 506767282560 is 65282767605.

506767282560 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 6 + 72 + 8 + 2 + 560 = 666.

It is a super-3 number, since 3×506767282560³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506767282497 and 506767282506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7137567325 + ... + 7137567395.

It is an arithmetic number, because the mean of its divisors is an integer number (1037362950).

Almost surely, 2^506767282560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506767282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195042118400).

506767282560 is an abundant number, since it is smaller than the sum of its proper divisors (1883316954240).

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

506767282560 is a wasteful number, since it uses less digits than its factorization.

506767282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 506767282560 in words is "five hundred six billion, seven hundred sixty-seven million, two hundred eighty-two thousand, five hundred sixty".