506705734392 has 256 divisors, whose sum is σ = 1557252587520. Its totient is φ = 135196300800.

The previous prime is 506705734361. The next prime is 506705734453. The reversal of 506705734392 is 293437507605.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28960767 + ... + 28978257.

It is an arithmetic number, because the mean of its divisors is an integer number (6083017920).

Almost surely, 2^506705734392 is an apocalyptic number.

506705734392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506705734392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778626293760).

506705734392 is an abundant number, since it is smaller than the sum of its proper divisors (1050546853128).

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

506705734392 is a wasteful number, since it uses less digits than its factorization.

506705734392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17910 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 506705734392 in words is "five hundred six billion, seven hundred five million, seven hundred thirty-four thousand, three hundred ninety-two".