6821787168 has 192 divisors, whose sum is σ = 22783057920. Its totient is φ = 1945334016.

The previous prime is 6821787121. The next prime is 6821787209. The reversal of 6821787168 is 8617871286.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218771 + ... + 5220077.

It is an arithmetic number, because the mean of its divisors is an integer number (118661760).

Almost surely, 2^6821787168 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 6821787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391528960).

6821787168 is an abundant number, since it is smaller than the sum of its proper divisors (15961270752).

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

6821787168 is a wasteful number, since it uses less digits than its factorization.

6821787168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2182 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 6821787168 is about 82594.1109765097. The cubic root of 6821787168 is about 1896.5576792455.

The spelling of 6821787168 in words is "six billion, eight hundred twenty-one million, seven hundred eighty-seven thousand, one hundred sixty-eight".