490918016736 has 576 divisors, whose sum is σ = 1724545105920. Its totient is φ = 134419668480.

The previous prime is 490918016713. The next prime is 490918016737. The reversal of 490918016736 is 637610819094.

490918016736 is a `hidden beast` number, since 490 + 9 + 1 + 80 + 1 + 6 + 73 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490918016737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180549585 + ... + 180552303.

It is an arithmetic number, because the mean of its divisors is an integer number (2994001920).

Almost surely, 2^490918016736 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 490918016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862272552960).

490918016736 is an abundant number, since it is smaller than the sum of its proper divisors (1233627089184).

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

490918016736 is a wasteful number, since it uses less digits than its factorization.

490918016736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 490918016736 in words is "four hundred ninety billion, nine hundred eighteen million, sixteen thousand, seven hundred thirty-six".