6863875128 has 96 divisors (see below), whose sum is σ = 20311948800. Its totient is φ = 2076648000.

The previous prime is 6863875127. The next prime is 6863875289. The reversal of 6863875128 is 8215783686.

6863875128 is a `hidden beast` number, since 68 + 63 + 8 + 7 + 512 + 8 = 666.

It is a super-2 number, since 2×6863875128² = 94225563545554032768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6863875127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515353 + ... + 528503.

It is an arithmetic number, because the mean of its divisors is an integer number (211582800).

Almost surely, 2^6863875128 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 6863875128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155974400).

6863875128 is an abundant number, since it is smaller than the sum of its proper divisors (13448073672).

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

6863875128 is a wasteful number, since it uses less digits than its factorization.

6863875128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13833 (or 13826 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 6863875128 is about 82848.5070957830. The cubic root of 6863875128 is about 1900.4500437151.

The spelling of 6863875128 in words is "six billion, eight hundred sixty-three million, eight hundred seventy-five thousand, one hundred twenty-eight".