6890704000 has 128 divisors (see below), whose sum is σ = 17206441200. Its totient is φ = 2744320000.

The previous prime is 6890703961. The next prime is 6890704001. The reversal of 6890704000 is 4070986.

It can be written as a sum of positive squares in 8 ways, for example, as 543076416 + 6347627584 = 23304^2 + 79672^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890704001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303200 + ... + 4304800.

Almost surely, 2^6890704000 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 6890704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603220600).

6890704000 is an abundant number, since it is smaller than the sum of its proper divisors (10315737200).

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

6890704000 is a wasteful number, since it uses less digits than its factorization.

6890704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 6890704000 is about 83010.2644255516. The cubic root of 6890704000 is about 1902.9229249431.

Adding to 6890704000 its reverse (4070986), we get a palindrome (6894774986).

The spelling of 6890704000 in words is "six billion, eight hundred ninety million, seven hundred four thousand".