5780745584640 has 2048 divisors, whose sum is σ = 24050862662400. Its totient is φ = 1320903770112.

The previous prime is 5780745584611. The next prime is 5780745584659. The reversal of 5780745584640 is 464855470875.

5780745584640 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 7 + 4 + 5 + 584 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79188295644 + ... + 79188295716.

Almost surely, 2^{5780745584640} 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 5780745584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025431331200).

5780745584640 is an abundant number, since it is smaller than the sum of its proper divisors (18270117077760).

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

5780745584640 is an frugal number, since it uses more digits than its factorization.

5780745584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 5780745584640 in words is "five trillion, seven hundred eighty billion, seven hundred forty-five million, five hundred eighty-four thousand, six hundred forty".