490859066880 has 2880 divisors, whose sum is σ = 2355059266560. Its totient is φ = 95647039488.

The previous prime is 490859066849. The next prime is 490859066899. The reversal of 490859066880 is 88660958094.

490859066880 is a `hidden beast` number, since 490 + 8 + 5 + 9 + 0 + 6 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16926174706 + ... + 16926174734.

It is an arithmetic number, because the mean of its divisors is an integer number (817728912).

Almost surely, 2^490859066880 is an apocalyptic number.

490859066880 is a gapful number since it is divisible by the number (40) 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 490859066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177529633280).

490859066880 is an abundant number, since it is smaller than the sum of its proper divisors (1864200199680).

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

490859066880 is a wasteful number, since it uses less digits than its factorization.

490859066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 490859066880 in words is "four hundred ninety billion, eight hundred fifty-nine million, sixty-six thousand, eight hundred eighty".