500456350368 has 768 divisors, whose sum is σ = 1669054464000. Its totient is φ = 144850083840.

The previous prime is 500456350363. The next prime is 500456350451. The reversal of 500456350368 is 863053654005.

500456350368 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 5 + 635 + 0 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (500456350363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2514855933 + ... + 2514856131.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248000).

Almost surely, 2^500456350368 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 500456350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834527232000).

500456350368 is an abundant number, since it is smaller than the sum of its proper divisors (1168598113632).

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

500456350368 is a wasteful number, since it uses less digits than its factorization.

500456350368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 500456350368 in words is "five hundred billion, four hundred fifty-six million, three hundred fifty thousand, three hundred sixty-eight".