6821627904 has 576 divisors, whose sum is σ = 25041744000. Its totient is φ = 1777434624.

The previous prime is 6821627881. The next prime is 6821627993. The reversal of 6821627904 is 4097261286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 6821627904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82188247 + ... + 82188329.

It is an arithmetic number, because the mean of its divisors is an integer number (43475250).

Almost surely, 2^6821627904 is an apocalyptic number.

6821627904 is a gapful number since it is divisible by the number (64) 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 6821627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520872000).

6821627904 is an abundant number, since it is smaller than the sum of its proper divisors (18220116096).

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

6821627904 is a wasteful number, since it uses less digits than its factorization.

6821627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6821627904 is about 82593.1468343470. The cubic root of 6821627904 is about 1896.5429198818.

The spelling of 6821627904 in words is "six billion, eight hundred twenty-one million, six hundred twenty-seven thousand, nine hundred four".