6811925568 has 224 divisors, whose sum is σ = 21907853568. Its totient is φ = 1823539200.

The previous prime is 6811925563. The next prime is 6811925569. The reversal of 6811925568 is 8655291186.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6811925568.

It is not an unprimeable number, because it can be changed into a prime (6811925563) 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 31 ways as a sum of consecutive naturals, for example, 6419758 + ... + 6420818.

Almost surely, 2^6811925568 is an apocalyptic number.

6811925568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6811925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953926784).

6811925568 is an abundant number, since it is smaller than the sum of its proper divisors (15095928000).

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

6811925568 is a wasteful number, since it uses less digits than its factorization.

6811925568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1371 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The square root of 6811925568 is about 82534.3902140193. The cubic root of 6811925568 is about 1895.6433483225.

The spelling of 6811925568 in words is "six billion, eight hundred eleven million, nine hundred twenty-five thousand, five hundred sixty-eight".