5647201338240 has 2304 divisors, whose sum is σ = 26020621186560. Its totient is φ = 1145005424640.

The previous prime is 5647201338239. The next prime is 5647201338253. The reversal of 5647201338240 is 428331027465.

5647201338240 is a `hidden beast` number, since 5 + 6 + 4 + 72 + 0 + 1 + 338 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5664193422 + ... + 5664194418.

It is an arithmetic number, because the mean of its divisors is an integer number (11293672390).

Almost surely, 2^{5647201338240} 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 5647201338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010310593280).

5647201338240 is an abundant number, since it is smaller than the sum of its proper divisors (20373419848320).

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

5647201338240 is a wasteful number, since it uses less digits than its factorization.

5647201338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5647201338240 in words is "five trillion, six hundred forty-seven billion, two hundred one million, three hundred thirty-eight thousand, two hundred forty".