506239684680 has 128 divisors (see below), whose sum is σ = 1570988764800. Its totient is φ = 130403561472.

The previous prime is 506239684667. The next prime is 506239684681. The reversal of 506239684680 is 86486932605.

It is a self number, because there is not a number n which added to its sum of digits gives 506239684680.

It is not an unprimeable number, because it can be changed into a prime (506239684681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207024 + ... + 1027296.

It is an arithmetic number, because the mean of its divisors is an integer number (12273349725).

Almost surely, 2^506239684680 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 506239684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785494382400).

506239684680 is an abundant number, since it is smaller than the sum of its proper divisors (1064749080120).

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

506239684680 is a wasteful number, since it uses less digits than its factorization.

506239684680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820463 (or 820459 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 506239684680 in words is "five hundred six billion, two hundred thirty-nine million, six hundred eighty-four thousand, six hundred eighty".