5590448640 has 480 divisors, whose sum is σ = 23440285440. Its totient is φ = 1202061312.

The previous prime is 5590448597. The next prime is 5590448681. The reversal of 5590448640 is 468440955.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5590448640³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740741 + ... + 2742779.

It is an arithmetic number, because the mean of its divisors is an integer number (48833928).

Almost surely, 2^5590448640 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 5590448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11720142720).

5590448640 is an abundant number, since it is smaller than the sum of its proper divisors (17849836800).

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

5590448640 is a wasteful number, since it uses less digits than its factorization.

5590448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5590448640 is about 74769.3027919881. The cubic root of 5590448640 is about 1774.7978229024.

The spelling of 5590448640 in words is "five billion, five hundred ninety million, four hundred forty-eight thousand, six hundred forty".