506784706560 has 936 divisors, whose sum is σ = 1995856017792. Its totient is φ = 118731571200.

The previous prime is 506784706511. The next prime is 506784706579. The reversal of 506784706560 is 65607487605.

506784706560 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 8 + 4 + 70 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506784706497 and 506784706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 691383954 + ... + 691384686.

Almost surely, 2^506784706560 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 506784706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997928008896).

506784706560 is an abundant number, since it is smaller than the sum of its proper divisors (1489071311232).

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

506784706560 is a wasteful number, since it uses less digits than its factorization.

506784706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 785 counting only the distinct ones).

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

The spelling of 506784706560 in words is "five hundred six billion, seven hundred eighty-four million, seven hundred six thousand, five hundred sixty".