6908688072 has 512 divisors, whose sum is σ = 24385536000. Its totient is φ = 1779978240.

The previous prime is 6908688071. The next prime is 6908688077. The reversal of 6908688072 is 2708868096.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6908688071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30980553 + ... + 30980775.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^6908688072 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 6908688072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768000).

6908688072 is an abundant number, since it is smaller than the sum of its proper divisors (17476847928).

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

6908688072 is a wasteful number, since it uses less digits than its factorization.

6908688072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 6908688072 is about 83118.5182254833. The cubic root of 6908688072 is about 1904.5769685011.

The spelling of 6908688072 in words is "six billion, nine hundred eight million, six hundred eighty-eight thousand, seventy-two".