6405340356 has 60 divisors (see below), whose sum is σ = 16831750012. Its totient is φ = 2124029952.

The previous prime is 6405340351. The next prime is 6405340367. The reversal of 6405340356 is 6530435046.

6405340356 is a `hidden beast` number, since 640 + 5 + 3 + 4 + 0 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3087580356 + 3317760000 = 55566^2 + 57600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6405340356.

It is not an unprimeable number, because it can be changed into a prime (6405340351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11316 + ... + 113748.

Almost surely, 2^6405340356 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 6405340356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415875006).

6405340356 is an abundant number, since it is smaller than the sum of its proper divisors (10426409656).

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

6405340356 is a wasteful number, since it uses less digits than its factorization.

6405340356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102642 (or 102631 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 6405340356 is about 80033.3702651588. The cubic root of 6405340356 is about 1857.1518010581.

The spelling of 6405340356 in words is "six billion, four hundred five million, three hundred forty thousand, three hundred fifty-six".