6704540291680 has 1536 divisors, whose sum is σ = 22345288777728. Its totient is φ = 1837508198400.

The previous prime is 6704540291677. The next prime is 6704540291789. The reversal of 6704540291680 is 861920454076.

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 255 ways as a sum of consecutive naturals, for example, 38754568074 + ... + 38754568246.

It is an arithmetic number, because the mean of its divisors is an integer number (14547714048).

Almost surely, 2^{6704540291680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6704540291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172644388864).

6704540291680 is an abundant number, since it is smaller than the sum of its proper divisors (15640748486048).

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

6704540291680 is a wasteful number, since it uses less digits than its factorization.

6704540291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 6704540291680 in words is "six trillion, seven hundred four billion, five hundred forty million, two hundred ninety-one thousand, six hundred eighty".