506747934720 has 288 divisors, whose sum is σ = 1763909784000. Its totient is φ = 134547111936.

The previous prime is 506747934703. The next prime is 506747934733. The reversal of 506747934720 is 27439747605.

506747934720 is a `hidden beast` number, since 50 + 67 + 479 + 3 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21461481 + ... + 21485079.

It is an arithmetic number, because the mean of its divisors is an integer number (6124686750).

Almost surely, 2^506747934720 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 506747934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881954892000).

506747934720 is an abundant number, since it is smaller than the sum of its proper divisors (1257161849280).

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

506747934720 is a wasteful number, since it uses less digits than its factorization.

506747934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 506747934720 in words is "five hundred six billion, seven hundred forty-seven million, nine hundred thirty-four thousand, seven hundred twenty".