507642913727712 has 576 divisors, whose sum is σ = 1750417630101504. Its totient is φ = 136233529344000.

The previous prime is 507642913727639. The next prime is 507642913727753. The reversal of 507642913727712 is 217727319246705.

507642913727712 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 429 + 137 + 2 + 7 + 71 + 2 = 666.

It is a super-2 number, since 2×507642913727712² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 507642913727712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42648310753 + ... + 42648322655.

It is an arithmetic number, because the mean of its divisors is an integer number (3038919496704).

Almost surely, 2^{507642913727712} 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 507642913727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875208815050752).

507642913727712 is an abundant number, since it is smaller than the sum of its proper divisors (1242774716373792).

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

507642913727712 is a wasteful number, since it uses less digits than its factorization.

507642913727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14351 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 507642913727712 in words is "five hundred seven trillion, six hundred forty-two billion, nine hundred thirteen million, seven hundred twenty-seven thousand, seven hundred twelve".