6686912736 has 288 divisors, whose sum is σ = 23407937280. Its totient is φ = 1767149568.

The previous prime is 6686912731. The next prime is 6686912759. The reversal of 6686912736 is 6372196866.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6686912731) 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 47 ways as a sum of consecutive naturals, for example, 2020395 + ... + 2023701.

It is an arithmetic number, because the mean of its divisors is an integer number (81277560).

Almost surely, 2^6686912736 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 6686912736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703968640).

6686912736 is an abundant number, since it is smaller than the sum of its proper divisors (16721024544).

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

6686912736 is a wasteful number, since it uses less digits than its factorization.

6686912736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3395 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 6686912736 is about 81773.5454532821. The cubic root of 6686912736 is about 1883.9753604091.

The spelling of 6686912736 in words is "six billion, six hundred eighty-six million, nine hundred twelve thousand, seven hundred thirty-six".