506769314688 has 576 divisors, whose sum is σ = 1885873691520. Its totient is φ = 129336238080.

The previous prime is 506769314683. The next prime is 506769314717. The reversal of 506769314688 is 886413967605.

506769314688 is a `hidden beast` number, since 50 + 67 + 69 + 3 + 1 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506769314683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22737406 + ... + 22759682.

It is an arithmetic number, because the mean of its divisors is an integer number (3274086270).

Almost surely, 2^506769314688 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 506769314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942936845760).

506769314688 is an abundant number, since it is smaller than the sum of its proper divisors (1379104376832).

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

506769314688 is a wasteful number, since it uses less digits than its factorization.

506769314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22355 (or 22333 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 506769314688 in words is "five hundred six billion, seven hundred sixty-nine million, three hundred fourteen thousand, six hundred eighty-eight".