6486209809920 has 480 divisors, whose sum is σ = 24521679262080. Its totient is φ = 1638618439680.

The previous prime is 6486209809909. The next prime is 6486209809973. The reversal of 6486209809920 is 299089026846.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11545135 + ... + 12093905.

It is an arithmetic number, because the mean of its divisors is an integer number (51086831796).

Almost surely, 2^{6486209809920} is an apocalyptic number.

6486209809920 is a gapful number since it is divisible by the number (60) 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 6486209809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260839631040).

6486209809920 is an abundant number, since it is smaller than the sum of its proper divisors (18035469452160).

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

6486209809920 is an equidigital number, since it uses as much as digits as its factorization.

6486209809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548828 (or 548800 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 6486209809920 in words is "six trillion, four hundred eighty-six billion, two hundred nine million, eight hundred nine thousand, nine hundred twenty".