507611868660 has 576 divisors, whose sum is σ = 1857102508800. Its totient is φ = 114275847168.

The previous prime is 507611868613. The next prime is 507611868671. The reversal of 507611868660 is 66868116705.

507611868660 is a `hidden beast` number, since 507 + 6 + 1 + 18 + 68 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 507611868597 and 507611868606.

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 191 ways as a sum of consecutive naturals, for example, 73488927 + ... + 73495833.

It is an arithmetic number, because the mean of its divisors is an integer number (3224136300).

Almost surely, 2^507611868660 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 507611868660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928551254400).

507611868660 is an abundant number, since it is smaller than the sum of its proper divisors (1349490640140).

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

507611868660 is a wasteful number, since it uses less digits than its factorization.

507611868660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 507611868660 in words is "five hundred seven billion, six hundred eleven million, eight hundred sixty-eight thousand, six hundred sixty".