7082809344 has 384 divisors, whose sum is σ = 23115456000. Its totient is φ = 2129559552.

The previous prime is 7082809339. The next prime is 7082809361. The reversal of 7082809344 is 4439082807.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 7082809344.

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 31 ways as a sum of consecutive naturals, for example, 42411949 + ... + 42412115.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^7082809344 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 7082809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

7082809344 is an abundant number, since it is smaller than the sum of its proper divisors (16032646656).

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

7082809344 is a wasteful number, since it uses less digits than its factorization.

7082809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7082809344 is about 84159.4281349392. The cubic root of 7082809344 is about 1920.4448969018. Note that the first 3 decimals are identical.

The spelling of 7082809344 in words is "seven billion, eighty-two million, eight hundred nine thousand, three hundred forty-four".