5448643200 has 1728 divisors, whose sum is σ = 27554173920. Its totient is φ = 1045094400.

The previous prime is 5448643177. The next prime is 5448643201. The reversal of 5448643200 is 23468445.

5448643200 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (5448643201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 419126394 + ... + 419126406.

Almost surely, 2^5448643200 is an apocalyptic number.

5448643200 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 5448643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777086960).

5448643200 is an abundant number, since it is smaller than the sum of its proper divisors (22105530720).

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

5448643200 is a wasteful number, since it uses less digits than its factorization.

5448643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5448643200 is about 73814.9253200191. The cubic root of 5448643200 is about 1759.6628141930.

The spelling of 5448643200 in words is "five billion, four hundred forty-eight million, six hundred forty-three thousand, two hundred".