6945824768 has 56 divisors (see below), whose sum is σ = 13921618080. Its totient is φ = 3465216000.

The previous prime is 6945824729. The next prime is 6945824779. The reversal of 6945824768 is 8674285496.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6151628 + ... + 6152756.

Almost surely, 2^6945824768 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 6945824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960809040).

6945824768 is an abundant number, since it is smaller than the sum of its proper divisors (6975793312).

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

6945824768 is an equidigital number, since it uses as much as digits as its factorization.

6945824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1882 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 59.

The square root of 6945824768 is about 83341.6148631642. The cubic root of 6945824768 is about 1907.9834686307.

The spelling of 6945824768 in words is "six billion, nine hundred forty-five million, eight hundred twenty-four thousand, seven hundred sixty-eight".