6820004464 has 240 divisors, whose sum is σ = 17253181440. Its totient is φ = 2553707520.

The previous prime is 6820004449. The next prime is 6820004473. The reversal of 6820004464 is 4644000286.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34619214 + ... + 34619410.

It is an arithmetic number, because the mean of its divisors is an integer number (71888256).

Almost surely, 2^6820004464 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 6820004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626590720).

6820004464 is an abundant number, since it is smaller than the sum of its proper divisors (10433176976).

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

6820004464 is a wasteful number, since it uses less digits than its factorization.

6820004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 6820004464 is about 82583.3183155049. The cubic root of 6820004464 is about 1896.3924588307.

The spelling of 6820004464 in words is "six billion, eight hundred twenty million, four thousand, four hundred sixty-four".