508604195731968 has 480 divisors, whose sum is σ = 1712482908364800. Its totient is φ = 142309204697088.

The previous prime is 508604195731943. The next prime is 508604195731969. The reversal of 508604195731968 is 869137591406805.

508604195731968 is a `hidden beast` number, since 5 + 0 + 8 + 6 + 0 + 41 + 9 + 573 + 1 + 9 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 508604195731896 and 508604195731905.

It is not an unprimeable number, because it can be changed into a prime (508604195731969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500008273 + ... + 501024431.

It is an arithmetic number, because the mean of its divisors is an integer number (3567672725760).

Almost surely, 2^{508604195731968} 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 508604195731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856241454182400).

508604195731968 is an abundant number, since it is smaller than the sum of its proper divisors (1203878712632832).

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

508604195731968 is a wasteful number, since it uses less digits than its factorization.

508604195731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016512 (or 1016493 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 508604195731968 in words is "five hundred eight trillion, six hundred four billion, one hundred ninety-five million, seven hundred thirty-one thousand, nine hundred sixty-eight".