5438647200 has 432 divisors, whose sum is σ = 20839291200. Its totient is φ = 1228308480.

The previous prime is 5438647163. The next prime is 5438647217. The reversal of 5438647200 is 27468345.

It is a happy number.

It is a super-3 number, since 3×5438647200³ (a number of 30 digits) contains 333 as substring.

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, 12112576 + ... + 12113024.

It is an arithmetic number, because the mean of its divisors is an integer number (48239100).

Almost surely, 2^5438647200 is an apocalyptic number.

5438647200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419645600).

5438647200 is an abundant number, since it is smaller than the sum of its proper divisors (15400644000).

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

5438647200 is a wasteful number, since it uses less digits than its factorization.

5438647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 5438647200 is about 73747.1843530314. The cubic root of 5438647200 is about 1758.5860716992.

The spelling of 5438647200 in words is "five billion, four hundred thirty-eight million, six hundred forty-seven thousand, two hundred".