6820816464 has 360 divisors, whose sum is σ = 25042772160. Its totient is φ = 1770975360.

The previous prime is 6820816439. The next prime is 6820816493. The reversal of 6820816464 is 4646180286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2559997 + ... + 2562659.

It is an arithmetic number, because the mean of its divisors is an integer number (69563256).

Almost surely, 2^6820816464 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 6820816464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521386080).

6820816464 is an abundant number, since it is smaller than the sum of its proper divisors (18221955696).

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

6820816464 is a wasteful number, since it uses less digits than its factorization.

6820816464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6820816464 is about 82588.2344162896. The cubic root of 6820816464 is about 1896.4677182911.

The spelling of 6820816464 in words is "six billion, eight hundred twenty million, eight hundred sixteen thousand, four hundred sixty-four".