6704468491680 has 576 divisors, whose sum is σ = 24812342755200. Its totient is φ = 1690569584640.

The previous prime is 6704468491667. The next prime is 6704468491703. The reversal of 6704468491680 is 861948644076.

6704468491680 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 4 + 68 + 491 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890482156 + ... + 890489684.

It is an arithmetic number, because the mean of its divisors is an integer number (43076983950).

Almost surely, 2^{6704468491680} is an apocalyptic number.

6704468491680 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 6704468491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12406171377600).

6704468491680 is an abundant number, since it is smaller than the sum of its proper divisors (18107874263520).

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

6704468491680 is a wasteful number, since it uses less digits than its factorization.

6704468491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8129 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6704468491680 in words is "six trillion, seven hundred four billion, four hundred sixty-eight million, four hundred ninety-one thousand, six hundred eighty".