6704665600 has 264 divisors, whose sum is σ = 17727347520. Its totient is φ = 2508718080.

The previous prime is 6704665559. The next prime is 6704665607. The reversal of 6704665600 is 65664076.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6704665607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34739104 + ... + 34739296.

Almost surely, 2^6704665600 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 6704665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8863673760).

6704665600 is an abundant number, since it is smaller than the sum of its proper divisors (11022681920).

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

6704665600 is a wasteful number, since it uses less digits than its factorization.

6704665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 6704665600 is about 81882.0224469328. The cubic root of 6704665600 is about 1885.6411218279.

The spelling of 6704665600 in words is "six billion, seven hundred four million, six hundred sixty-five thousand, six hundred".