500890642336 has 384 divisors, whose sum is σ = 1228473630720. Its totient is φ = 196519219200.

The previous prime is 500890642313. The next prime is 500890642337. The reversal of 500890642336 is 633246098005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (500890642337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2622464001 + ... + 2622464191.

It is an arithmetic number, because the mean of its divisors is an integer number (3199150080).

Almost surely, 2^500890642336 is an apocalyptic number.

500890642336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500890642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614236815360).

500890642336 is an abundant number, since it is smaller than the sum of its proper divisors (727582988384).

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

500890642336 is a wasteful number, since it uses less digits than its factorization.

500890642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 500890642336 in words is "five hundred billion, eight hundred ninety million, six hundred forty-two thousand, three hundred thirty-six".