506817794623608 has 160 divisors (see below), whose sum is σ = 1529808129141600. Its totient is φ = 155836607553792.

The previous prime is 506817794623537. The next prime is 506817794623649. The reversal of 506817794623608 is 806326497718605.

506817794623608 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 1 + 7 + 7 + 9 + 4 + 6 + 2 + 3 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8463148 + ... + 32943291.

It is an arithmetic number, because the mean of its divisors is an integer number (9561300807135).

It is a 2-persistent number, because it is pandigital, and so is 2⋅506817794623608 = 1013635589247216, but 3⋅506817794623608 = 1520453383870824 is not.

Almost surely, 2^{506817794623608} is an apocalyptic number.

It is an amenable number.

506817794623608 is an abundant number, since it is smaller than the sum of its proper divisors (1022990334517992).

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

506817794623608 is a wasteful number, since it uses less digits than its factorization.

506817794623608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41407923 (or 41407910 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 506817794623608 in words is "five hundred six trillion, eight hundred seventeen billion, seven hundred ninety-four million, six hundred twenty-three thousand, six hundred eight".