490800881664 has 280 divisors, whose sum is σ = 1530051621120. Its totient is φ = 156482371584.

The previous prime is 490800881653. The next prime is 490800881713. The reversal of 490800881664 is 466188008094.

490800881664 is a `hidden beast` number, since 490 + 8 + 0 + 0 + 88 + 16 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 490800881664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15245617 + ... + 15277775.

Almost surely, 2^490800881664 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 490800881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765025810560).

490800881664 is an abundant number, since it is smaller than the sum of its proper divisors (1039250739456).

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

490800881664 is an equidigital number, since it uses as much as digits as its factorization.

490800881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32220 (or 32187 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 490800881664 in words is "four hundred ninety billion, eight hundred million, eight hundred eighty-one thousand, six hundred sixty-four".