6678479808000 has 5040 divisors, whose sum is σ = 33963552631008. Its totient is φ = 1280987136000.

The previous prime is 6678479807941. The next prime is 6678479808053. The reversal of 6678479808000 is 8089748766.

6678479808000 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 479 + 80 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 513729215994 + ... + 513729216006.

Almost surely, 2^{6678479808000} is an apocalyptic number.

6678479808000 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 6678479808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981776315504).

6678479808000 is an abundant number, since it is smaller than the sum of its proper divisors (27285072823008).

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

6678479808000 is an equidigital number, since it uses as much as digits as its factorization.

6678479808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 6678479808000 in words is "six trillion, six hundred seventy-eight billion, four hundred seventy-nine million, eight hundred eight thousand".