6876340128 has 216 divisors, whose sum is σ = 23590973952. Its totient is φ = 1964559744.

The previous prime is 6876340111. The next prime is 6876340157. The reversal of 6876340128 is 8210436786.

6876340128 is a `hidden beast` number, since 6 + 8 + 7 + 634 + 0 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372001 + ... + 390047.

It is an arithmetic number, because the mean of its divisors is an integer number (109217472).

Almost surely, 2^6876340128 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 6876340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795486976).

6876340128 is an abundant number, since it is smaller than the sum of its proper divisors (16714633824).

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

6876340128 is a wasteful number, since it uses less digits than its factorization.

6876340128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18086 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6876340128 is about 82923.7006410110. The cubic root of 6876340128 is about 1901.5997724889.

The spelling of 6876340128 in words is "six billion, eight hundred seventy-six million, three hundred forty thousand, one hundred twenty-eight".