506347283640 has 512 divisors, whose sum is σ = 1774700928000. Its totient is φ = 114392678400.

The previous prime is 506347283609. The next prime is 506347283707. The reversal of 506347283640 is 46382743605.

506347283640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×506347283640² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506347283640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185541796 + ... + 185544524.

It is an arithmetic number, because the mean of its divisors is an integer number (3466212750).

Almost surely, 2^506347283640 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 506347283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887350464000).

506347283640 is an abundant number, since it is smaller than the sum of its proper divisors (1268353644360).

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

506347283640 is a wasteful number, since it uses less digits than its factorization.

506347283640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

It can be divided in two parts, 506347 and 283640, that added together give a palindrome (789987).

The spelling of 506347283640 in words is "five hundred six billion, three hundred forty-seven million, two hundred eighty-three thousand, six hundred forty".