6609649812480 has 3168 divisors, whose sum is σ = 29620929761280. Its totient is φ = 1345683456000.

The previous prime is 6609649812473. The next prime is 6609649812523. The reversal of 6609649812480 is 842189469066.

6609649812480 is a `hidden beast` number, since 6 + 6 + 0 + 9 + 64 + 98 + 1 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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, 50455342015 + ... + 50455342145.

It is an arithmetic number, because the mean of its divisors is an integer number (9350040960).

Almost surely, 2^{6609649812480} is an apocalyptic number.

6609649812480 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 6609649812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810464880640).

6609649812480 is an abundant number, since it is smaller than the sum of its proper divisors (23011279948800).

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

6609649812480 is a wasteful number, since it uses less digits than its factorization.

6609649812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 6609649812480 in words is "six trillion, six hundred nine billion, six hundred forty-nine million, eight hundred twelve thousand, four hundred eighty".