506741642418 has 96 divisors (see below), whose sum is σ = 1118812419648. Its totient is φ = 152895508480.

The previous prime is 506741642417. The next prime is 506741642441. The reversal of 506741642418 is 814246147605.

It is not an unprimeable number, because it can be changed into a prime (506741642411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190718146 + ... + 190720802.

It is an arithmetic number, because the mean of its divisors is an integer number (11654296038).

Almost surely, 2^506741642418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506741642418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559406209824).

506741642418 is an abundant number, since it is smaller than the sum of its proper divisors (612070777230).

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

506741642418 is a wasteful number, since it uses less digits than its factorization.

506741642418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 506741642418 in words is "five hundred six billion, seven hundred forty-one million, six hundred forty-two thousand, four hundred eighteen".