5744072947200 has 960 divisors, whose sum is σ = 22892868810240. Its totient is φ = 1240258314240.

The previous prime is 5744072947177. The next prime is 5744072947213. The reversal of 5744072947200 is 27492704475.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2027556984 + ... + 2027559816.

It is an arithmetic number, because the mean of its divisors is an integer number (23846738344).

Almost surely, 2^{5744072947200} is an apocalyptic number.

5744072947200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5744072947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446434405120).

5744072947200 is an abundant number, since it is smaller than the sum of its proper divisors (17148795863040).

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

5744072947200 is a wasteful number, since it uses less digits than its factorization.

5744072947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 5744072947200 in words is "five trillion, seven hundred forty-four billion, seventy-two million, nine hundred forty-seven thousand, two hundred".