500906237328 has 480 divisors, whose sum is σ = 1787598979200. Its totient is φ = 133428363264.

The previous prime is 500906237297. The next prime is 500906237333. The reversal of 500906237328 is 823732609005.

500906237328 is a `hidden beast` number, since 5 + 0 + 0 + 90 + 6 + 237 + 328 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38498088 + ... + 38511096.

It is an arithmetic number, because the mean of its divisors is an integer number (3724164540).

Almost surely, 2^500906237328 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 500906237328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893799489600).

500906237328 is an abundant number, since it is smaller than the sum of its proper divisors (1286692741872).

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

500906237328 is a wasteful number, since it uses less digits than its factorization.

500906237328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 500906237328 in words is "five hundred billion, nine hundred six million, two hundred thirty-seven thousand, three hundred twenty-eight".