490044606768 has 240 divisors, whose sum is σ = 1416893179104. Its totient is φ = 158036336640.

The previous prime is 490044606749. The next prime is 490044606769. The reversal of 490044606768 is 867606440094.

It is not an unprimeable number, because it can be changed into a prime (490044606769) 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, 181968430 + ... + 181971122.

Almost surely, 2^490044606768 is an apocalyptic number.

490044606768 is a gapful number since it is divisible by the number (48) 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 490044606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708446589552).

490044606768 is an abundant number, since it is smaller than the sum of its proper divisors (926848572336).

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

490044606768 is a wasteful number, since it uses less digits than its factorization.

490044606768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 490044606768 in words is "four hundred ninety billion, forty-four million, six hundred six thousand, seven hundred sixty-eight".