5744361587328 has 1536 divisors, whose sum is σ = 23065790791680. Its totient is φ = 1379524608000.

The previous prime is 5744361587323. The next prime is 5744361587357. The reversal of 5744361587328 is 8237851634475.

It is a happy number.

5744361587328 is a `hidden beast` number, since 5 + 7 + 4 + 4 + 3 + 615 + 8 + 7 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5744361587323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1491652603 + ... + 1491656453.

It is an arithmetic number, because the mean of its divisors is an integer number (15016790880).

Almost surely, 2^{5744361587328} 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 5744361587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532895395840).

5744361587328 is an abundant number, since it is smaller than the sum of its proper divisors (17321429204352).

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

5744361587328 is a wasteful number, since it uses less digits than its factorization.

5744361587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3924 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 5744361587328 in words is "five trillion, seven hundred forty-four billion, three hundred sixty-one million, five hundred eighty-seven thousand, three hundred twenty-eight".