506812574627736 has 128 divisors (see below), whose sum is σ = 1381709295288000. Its totient is φ = 153979808514048.

The previous prime is 506812574627707. The next prime is 506812574627747. The reversal of 506812574627736 is 637726475218605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7903960 + ... + 32803928.

Almost surely, 2^{506812574627736} 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 506812574627736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690854647644000).

506812574627736 is an abundant number, since it is smaller than the sum of its proper divisors (874896720660264).

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

506812574627736 is a wasteful number, since it uses less digits than its factorization.

506812574627736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24900813 (or 24900809 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 69.

The spelling of 506812574627736 in words is "five hundred six trillion, eight hundred twelve billion, five hundred seventy-four million, six hundred twenty-seven thousand, seven hundred thirty-six".