6864133144 has 96 divisors (see below), whose sum is σ = 14551306560. Its totient is φ = 3010320000.

The previous prime is 6864133141. The next prime is 6864133147. The reversal of 6864133144 is 4413314686.

It is an interprime number because it is at equal distance from previous prime (6864133141) and next prime (6864133147).

It is a junction number, because it is equal to n+sod(n) for n = 6864133097 and 6864133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864133141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27347019 + ... + 27347269.

It is an arithmetic number, because the mean of its divisors is an integer number (151576110).

Almost surely, 2^6864133144 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 6864133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275653280).

6864133144 is an abundant number, since it is smaller than the sum of its proper divisors (7687173416).

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

6864133144 is a wasteful number, since it uses less digits than its factorization.

6864133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 528 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 6864133144 is about 82850.0642365472. The cubic root of 6864133144 is about 1900.4738563266.

The spelling of 6864133144 in words is "six billion, eight hundred sixty-four million, one hundred thirty-three thousand, one hundred forty-four".