5484672000 has 660 divisors, whose sum is σ = 21367462116. Its totient is φ = 1398988800.

The previous prime is 5484671999. The next prime is 5484672013. The reversal of 5484672000 is 2764845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5484672000 is a `hidden beast` number, since 548 + 46 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175509504 + 5309162496 = 13248^2 + 72864^2 .

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 238463989 + ... + 238464011.

Almost surely, 2^5484672000 is an apocalyptic number.

5484672000 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 5484672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10683731058).

5484672000 is an abundant number, since it is smaller than the sum of its proper divisors (15882790116).

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

5484672000 is an equidigital number, since it uses as much as digits as its factorization.

5484672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5484672000 is about 74058.5714147930. The cubic root of 5484672000 is about 1763.5328486702.

The spelling of 5484672000 in words is "five billion, four hundred eighty-four million, six hundred seventy-two thousand".