508640601168 has 240 divisors, whose sum is σ = 1753139934720. Its totient is φ = 140637772800.

The previous prime is 508640601163. The next prime is 508640601179. The reversal of 508640601168 is 861106046805.

508640601168 is a `hidden beast` number, since 5 + 0 + 86 + 406 + 0 + 1 + 168 = 666.

It is a super-2 number, since 2×508640601168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508640601163) 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, 268648 + ... + 1043768.

It is an arithmetic number, because the mean of its divisors is an integer number (7304749728).

Almost surely, 2^508640601168 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 508640601168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876569967360).

508640601168 is an abundant number, since it is smaller than the sum of its proper divisors (1244499333552).

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

508640601168 is a wasteful number, since it uses less digits than its factorization.

508640601168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775183 (or 775164 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 508640601168 in words is "five hundred eight billion, six hundred forty million, six hundred one thousand, one hundred sixty-eight".