490673664000 has 624 divisors, whose sum is σ = 1905122279424. Its totient is φ = 120766464000.

The previous prime is 490673663999. The next prime is 490673664007. The reversal of 490673664000 is 466376094.

490673664000 is a `hidden beast` number, since 490 + 67 + 3 + 66 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490673664007) 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, 59899905 + ... + 59908095.

It is an arithmetic number, because the mean of its divisors is an integer number (3053080576).

Almost surely, 2^490673664000 is an apocalyptic number.

490673664000 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 490673664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952561139712).

490673664000 is an abundant number, since it is smaller than the sum of its proper divisors (1414448615424).

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

490673664000 is a wasteful number, since it uses less digits than its factorization.

490673664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 490673664000 in words is "four hundred ninety billion, six hundred seventy-three million, six hundred sixty-four thousand".