6704517120000 has 1920 divisors, whose sum is σ = 27727174838880. Its totient is φ = 1431306240000.

The previous prime is 6704517119987. The next prime is 6704517120031. The reversal of 6704517120000 is 217154076.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51179519935 + ... + 51179520065.

Almost surely, 2^{6704517120000} is an apocalyptic number.

6704517120000 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 6704517120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863587419440).

6704517120000 is an abundant number, since it is smaller than the sum of its proper divisors (21022657718880).

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

6704517120000 is an equidigital number, since it uses as much as digits as its factorization.

6704517120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 6704517120000 in words is "six trillion, seven hundred four billion, five hundred seventeen million, one hundred twenty thousand".