6838006284288 has 576 divisors, whose sum is σ = 21065214413880. Its totient is φ = 2136510824448.

The previous prime is 6838006284253. The next prime is 6838006284359. The reversal of 6838006284288 is 8824826008386.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8268447331 + ... + 8268448157.

Almost surely, 2^{6838006284288} 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 6838006284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532607206940).

6838006284288 is an abundant number, since it is smaller than the sum of its proper divisors (14227208129592).

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

6838006284288 is an equidigital number, since it uses as much as digits as its factorization.

6838006284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 6838006284288 in words is "six trillion, eight hundred thirty-eight billion, six million, two hundred eighty-four thousand, two hundred eighty-eight".