500340829609368 has 640 divisors, whose sum is σ = 1546954264722240. Its totient is φ = 149831700480000.

The previous prime is 500340829609301. The next prime is 500340829609391. The reversal of 500340829609368 is 863906928043005.

500340829609368 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 408 + 29 + 60 + 93 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 258841607730 + ... + 258841609662.

Almost surely, 2^{500340829609368} 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 500340829609368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773477132361120).

500340829609368 is an abundant number, since it is smaller than the sum of its proper divisors (1046613435112872).

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

500340829609368 is a wasteful number, since it uses less digits than its factorization.

500340829609368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 500340829609368 in words is "five hundred trillion, three hundred forty billion, eight hundred twenty-nine million, six hundred nine thousand, three hundred sixty-eight".