504506749760 has 168 divisors, whose sum is σ = 1302383248416. Its totient is φ = 186063820800.

The previous prime is 504506749759. The next prime is 504506749777. The reversal of 504506749760 is 67947605405.

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, 51208835 + ... + 51218685.

Almost surely, 2^504506749760 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 504506749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651191624208).

504506749760 is an abundant number, since it is smaller than the sum of its proper divisors (797876498656).

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

504506749760 is a wasteful number, since it uses less digits than its factorization.

504506749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 504506749760 in words is "five hundred four billion, five hundred six million, seven hundred forty-nine thousand, seven hundred sixty".