506646809280 has 280 divisors, whose sum is σ = 1836241186032. Its totient is φ = 132556290048.

The previous prime is 506646809261. The next prime is 506646809293. The reversal of 506646809280 is 82908646605.

It is a happy number.

506646809280 is a `hidden beast` number, since 506 + 6 + 46 + 8 + 0 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1189359 + ... + 1558161.

Almost surely, 2^506646809280 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 506646809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918120593016).

506646809280 is an abundant number, since it is smaller than the sum of its proper divisors (1329594376752).

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

506646809280 is a wasteful number, since it uses less digits than its factorization.

506646809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368885 (or 368866 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 506646809280 in words is "five hundred six billion, six hundred forty-six million, eight hundred nine thousand, two hundred eighty".