5338644480 has 360 divisors, whose sum is σ = 19966112712. Its totient is φ = 1311768576.

The previous prime is 5338644463. The next prime is 5338644499. The reversal of 5338644480 is 844468335.

5338644480 is a `hidden beast` number, since 53 + 3 + 86 + 44 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71368704 + 5267275776 = 8448^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5338644480² = 57002249767668940800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584362 + ... + 9584918.

Almost surely, 2^5338644480 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 5338644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983056356).

5338644480 is an abundant number, since it is smaller than the sum of its proper divisors (14627468232).

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

5338644480 is a wasteful number, since it uses less digits than its factorization.

5338644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 5338644480 is about 73066.0282210550. The cubic root of 5338644480 is about 1747.7407013085.

The spelling of 5338644480 in words is "five billion, three hundred thirty-eight million, six hundred forty-four thousand, four hundred eighty".