5607743581440 has 5184 divisors, whose sum is σ = 28726779174912. Its totient is φ = 1028372889600.

The previous prime is 5607743581379. The next prime is 5607743581463. The reversal of 5607743581440 is 441853477065.

5607743581440 is a `hidden beast` number, since 5 + 60 + 7 + 7 + 435 + 8 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 67563175639 + ... + 67563175721.

It is an arithmetic number, because the mean of its divisors is an integer number (5541431168).

Almost surely, 2^{5607743581440} 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 5607743581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363389587456).

5607743581440 is an abundant number, since it is smaller than the sum of its proper divisors (23119035593472).

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

5607743581440 is a wasteful number, since it uses less digits than its factorization.

5607743581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5607743581440 in words is "five trillion, six hundred seven billion, seven hundred forty-three million, five hundred eighty-one thousand, four hundred forty".