6705104000 has 256 divisors, whose sum is σ = 19239517440. Its totient is φ = 2276352000.

The previous prime is 6705103997. The next prime is 6705104023. The reversal of 6705104000 is 4015076.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14671772 + ... + 14672228.

It is an arithmetic number, because the mean of its divisors is an integer number (75154365).

Almost surely, 2^6705104000 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 6705104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619758720).

6705104000 is an abundant number, since it is smaller than the sum of its proper divisors (12534413440).

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

6705104000 is a wasteful number, since it uses less digits than its factorization.

6705104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 6705104000 is about 81884.6994254726. The cubic root of 6705104000 is about 1885.6822199279.

Adding to 6705104000 its reverse (4015076), we get a palindrome (6709119076).

The spelling of 6705104000 in words is "six billion, seven hundred five million, one hundred four thousand".