5984144640 has 108 divisors (see below), whose sum is σ = 20704556964. Its totient is φ = 1595768832.

The previous prime is 5984144633. The next prime is 5984144641. The reversal of 5984144640 is 464414895.

5984144640 is a `hidden beast` number, since 598 + 4 + 14 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2921186304 + 3062958336 = 54048^2 + 55344^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984144641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248209 + ... + 271248.

Almost surely, 2^5984144640 is an apocalyptic number.

It is an amenable number.

5984144640 is an abundant number, since it is smaller than the sum of its proper divisors (14720412324).

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

5984144640 is a wasteful number, since it uses less digits than its factorization.

5984144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519484 (or 519467 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5984144640 is about 77357.2533121491. The cubic root of 5984144640 is about 1815.5185641188.

The spelling of 5984144640 in words is "five billion, nine hundred eighty-four million, one hundred forty-four thousand, six hundred forty".