6876907128 has 320 divisors, whose sum is σ = 23905728000. Its totient is φ = 1798495488.

The previous prime is 6876907117. The next prime is 6876907129. The reversal of 6876907128 is 8217096786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876907129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8196133 + ... + 8196971.

It is an arithmetic number, because the mean of its divisors is an integer number (74705400).

Almost surely, 2^6876907128 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 6876907128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952864000).

6876907128 is an abundant number, since it is smaller than the sum of its proper divisors (17028820872).

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

6876907128 is a wasteful number, since it uses less digits than its factorization.

6876907128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 6876907128 is about 82927.1193759918. The cubic root of 6876907128 is about 1901.6520375707.

The spelling of 6876907128 in words is "six billion, eight hundred seventy-six million, nine hundred seven thousand, one hundred twenty-eight".