6821115168 has 144 divisors (see below), whose sum is σ = 21392247744. Its totient is φ = 1896168960.

The previous prime is 6821115151. The next prime is 6821115179. The reversal of 6821115168 is 8615111286.

It is a super-2 number, since 2×6821115168² = 93055224270239336448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154453 + ... + 193643.

It is an arithmetic number, because the mean of its divisors is an integer number (148557276).

Almost surely, 2^6821115168 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 6821115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696123872).

6821115168 is an abundant number, since it is smaller than the sum of its proper divisors (14571132576).

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

6821115168 is a wasteful number, since it uses less digits than its factorization.

6821115168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39255 (or 39240 counting only the distinct ones).

The product of its digits is 23040, while the sum is 39.

The square root of 6821115168 is about 82590.0427896729. The cubic root of 6821115168 is about 1896.4954018891.

The spelling of 6821115168 in words is "six billion, eight hundred twenty-one million, one hundred fifteen thousand, one hundred sixty-eight".