5641248384 has 192 divisors, whose sum is σ = 16841260800. Its totient is φ = 1811189760.

The previous prime is 5641248359. The next prime is 5641248391. The reversal of 5641248384 is 4838421465.

5641248384 is a `hidden beast` number, since 56 + 41 + 2 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5641248384² = 63647366659965222912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919537 + ... + 3920975.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^5641248384 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 5641248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

5641248384 is an abundant number, since it is smaller than the sum of its proper divisors (11200012416).

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

5641248384 is a wasteful number, since it uses less digits than its factorization.

5641248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 5641248384 is about 75108.2444475971. The cubic root of 5641248384 is about 1780.1574140129.

The spelling of 5641248384 in words is "five billion, six hundred forty-one million, two hundred forty-eight thousand, three hundred eighty-four".