507790968477660 has 576 divisors, whose sum is σ = 1898739919319040. Its totient is φ = 112219462817280.

The previous prime is 507790968477613. The next prime is 507790968477713. The reversal of 507790968477660 is 66774869097705.

507790968477660 is a `hidden beast` number, since 50 + 7 + 7 + 9 + 0 + 96 + 8 + 477 + 6 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 507790968477660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 896260987 + ... + 896827373.

It is an arithmetic number, because the mean of its divisors is an integer number (3296423471040).

Almost surely, 2^{507790968477660} 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 507790968477660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949369959659520).

507790968477660 is an abundant number, since it is smaller than the sum of its proper divisors (1390948950841380).

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

507790968477660 is a wasteful number, since it uses less digits than its factorization.

507790968477660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567543 (or 567528 counting only the distinct ones).

The product of its (nonzero) digits is 6721263360, while the sum is 81.

The spelling of 507790968477660 in words is "five hundred seven trillion, seven hundred ninety billion, nine hundred sixty-eight million, four hundred seventy-seven thousand, six hundred sixty".