6826064544 has 144 divisors (see below), whose sum is σ = 21626022600. Its totient is φ = 2027870208.

The previous prime is 6826064543. The next prime is 6826064551. The reversal of 6826064544 is 4454606286.

It can be written as a sum of positive squares in 4 ways, for example, as 3578432400 + 3247632144 = 59820^2 + 56988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 6826064544.

It is not an unprimeable number, because it can be changed into a prime (6826064543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77142 + ... + 140010.

Almost surely, 2^6826064544 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 6826064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813011300).

6826064544 is an abundant number, since it is smaller than the sum of its proper divisors (14799958056).

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

6826064544 is a wasteful number, since it uses less digits than its factorization.

6826064544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62927 (or 62916 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 6826064544 is about 82620.0008714597. Note that the first 3 decimals coincide. The cubic root of 6826064544 is about 1896.9539876798.

The spelling of 6826064544 in words is "six billion, eight hundred twenty-six million, sixty-four thousand, five hundred forty-four".