5384448000 has 768 divisors, whose sum is σ = 21464352000. Its totient is φ = 1327104000.

The previous prime is 5384447987. The next prime is 5384448007. The reversal of 5384448000 is 8444835.

5384448000 is a `hidden beast` number, since 538 + 4 + 44 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5384448007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131327980 + ... + 131328020.

It is an arithmetic number, because the mean of its divisors is an integer number (27948375).

Almost surely, 2^5384448000 is an apocalyptic number.

5384448000 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 5384448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176000).

5384448000 is an abundant number, since it is smaller than the sum of its proper divisors (16079904000).

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

5384448000 is a wasteful number, since it uses less digits than its factorization.

5384448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5384448000 is about 73378.7980277682. The cubic root of 5384448000 is about 1752.7247892537.

The spelling of 5384448000 in words is "five billion, three hundred eighty-four million, four hundred forty-eight thousand".