5644248480 has 432 divisors, whose sum is σ = 21654228960. Its totient is φ = 1387736064.

The previous prime is 5644248473. The next prime is 5644248497. The reversal of 5644248480 is 848424465.

5644248480 is a `hidden beast` number, since 56 + 4 + 42 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6570291 + ... + 6571149.

It is an arithmetic number, because the mean of its divisors is an integer number (50125530).

Almost surely, 2^5644248480 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 5644248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827114480).

5644248480 is an abundant number, since it is smaller than the sum of its proper divisors (16009980480).

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

5644248480 is a wasteful number, since it uses less digits than its factorization.

5644248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 5644248480 is about 75128.2136084707. The cubic root of 5644248480 is about 1780.4729290851.

The spelling of 5644248480 in words is "five billion, six hundred forty-four million, two hundred forty-eight thousand, four hundred eighty".