6821527968 has 96 divisors (see below), whose sum is σ = 19984345920. Its totient is φ = 2263760640.

The previous prime is 6821527963. The next prime is 6821528009. The reversal of 6821527968 is 8697251286.

6821527968 is a `hidden beast` number, since 6 + 8 + 21 + 527 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6821527963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178738 + ... + 213518.

It is an arithmetic number, because the mean of its divisors is an integer number (208170270).

Almost surely, 2^6821527968 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 6821527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992172960).

6821527968 is an abundant number, since it is smaller than the sum of its proper divisors (13162817952).

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

6821527968 is a wasteful number, since it uses less digits than its factorization.

6821527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35027 (or 35013 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 6821527968 is about 82592.5418424690. The cubic root of 6821527968 is about 1896.5336584640.

The spelling of 6821527968 in words is "six billion, eight hundred twenty-one million, five hundred twenty-seven thousand, nine hundred sixty-eight".