6872112786 has 128 divisors (see below), whose sum is σ = 17698461696. Its totient is φ = 1726894080.

The previous prime is 6872112781. The next prime is 6872112809.

6872112786 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6872112781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3298101 + ... + 3300183.

It is an arithmetic number, because the mean of its divisors is an integer number (138269232).

Almost surely, 2^6872112786 is an apocalyptic number.

6872112786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872112786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849230848).

6872112786 is an abundant number, since it is smaller than the sum of its proper divisors (10826348910).

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

6872112786 is a wasteful number, since it uses less digits than its factorization.

6872112786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336.

The product of its digits is 451584, while the sum is 48.

The square root of 6872112786 is about 82898.2073750693. The cubic root of 6872112786 is about 1901.2100128053.

The spelling of 6872112786 in words is "six billion, eight hundred seventy-two million, one hundred twelve thousand, seven hundred eighty-six".