6895221120 has 256 divisors, whose sum is σ = 24734592000. Its totient is φ = 1815091200.

The previous prime is 6895221089. The next prime is 6895221121. The reversal of 6895221120 is 211225986.

6895221120 is a `hidden beast` number, since 6 + 8 + 9 + 522 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6895221121) 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 31 ways as a sum of consecutive naturals, for example, 1362595 + ... + 1367645.

It is an arithmetic number, because the mean of its divisors is an integer number (96619500).

Almost surely, 2^6895221120 is an apocalyptic number.

6895221120 is a gapful number since it is divisible by the number (60) 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 6895221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367296000).

6895221120 is an abundant number, since it is smaller than the sum of its proper divisors (17839370880).

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

6895221120 is a wasteful number, since it uses less digits than its factorization.

6895221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6895221120 is about 83037.4681694956. The cubic root of 6895221120 is about 1903.3386470333.

The spelling of 6895221120 in words is "six billion, eight hundred ninety-five million, two hundred twenty-one thousand, one hundred twenty".