6870607128 has 288 divisors, whose sum is σ = 24379729920. Its totient is φ = 1726704000.

The previous prime is 6870607061. The next prime is 6870607147. The reversal of 6870607128 is 8217060786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1200193 + ... + 1205903.

It is an arithmetic number, because the mean of its divisors is an integer number (84651840).

Almost surely, 2^6870607128 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 6870607128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

6870607128 is an abundant number, since it is smaller than the sum of its proper divisors (17509122792).

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

6870607128 is a wasteful number, since it uses less digits than its factorization.

6870607128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6870607128 is about 82889.1255111308. The cubic root of 6870607128 is about 1901.0711529796.

The spelling of 6870607128 in words is "six billion, eight hundred seventy million, six hundred seven thousand, one hundred twenty-eight".