5546448000 has 512 divisors, whose sum is σ = 21042028800. Its totient is φ = 1434931200.

The previous prime is 5546447993. The next prime is 5546448031. The reversal of 5546448000 is 8446455.

5546448000 is a `hidden beast` number, since 5 + 5 + 4 + 644 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15983827 + ... + 15984173.

Almost surely, 2^5546448000 is an apocalyptic number.

5546448000 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 5546448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521014400).

5546448000 is an abundant number, since it is smaller than the sum of its proper divisors (15495580800).

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

5546448000 is a wasteful number, since it uses less digits than its factorization.

5546448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5546448000 is about 74474.4788501403. The cubic root of 5546448000 is about 1770.1292637569.

The spelling of 5546448000 in words is "five billion, five hundred forty-six million, four hundred forty-eight thousand".