5641744608 has 144 divisors (see below), whose sum is σ = 17088467760. Its totient is φ = 1829661696.

The previous prime is 5641744601. The next prime is 5641744639. The reversal of 5641744608 is 8064471465.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641744601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 277908 + ... + 297516.

It is an arithmetic number, because the mean of its divisors is an integer number (118669915).

Almost surely, 2^5641744608 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 5641744608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544233880).

5641744608 is an abundant number, since it is smaller than the sum of its proper divisors (11446723152).

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

5641744608 is a wasteful number, since it uses less digits than its factorization.

5641744608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19651 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5641744608 is about 75111.5477673041. The cubic root of 5641744608 is about 1780.2096087798.

It can be divided in two parts, 56417 and 44608, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 5641744608 in words is "five billion, six hundred forty-one million, seven hundred forty-four thousand, six hundred eight".