5963585440 has 96 divisors (see below), whose sum is σ = 14389235280. Its totient is φ = 2334818304.

The previous prime is 5963585399. The next prime is 5963585479. The reversal of 5963585440 is 445853695.

It can be written as a sum of positive squares in 8 ways, for example, as 1710980496 + 4252604944 = 41364^2 + 65212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6418896 + ... + 6419824.

Almost surely, 2^5963585440 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 5963585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194617640).

5963585440 is an abundant number, since it is smaller than the sum of its proper divisors (8425649840).

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

5963585440 is a wasteful number, since it uses less digits than its factorization.

5963585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The square root of 5963585440 is about 77224.2542210671. The cubic root of 5963585440 is about 1813.4370393159.

The spelling of 5963585440 in words is "five billion, nine hundred sixty-three million, five hundred eighty-five thousand, four hundred forty".