543648672 has 360 divisors, whose sum is σ = 1951731936. Its totient is φ = 145380096.

The previous prime is 543648647. The next prime is 543648673. The reversal of 543648672 is 276846345.

543648672 is a `hidden beast` number, since 543 + 6 + 48 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (543648673) by changing a digit.

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, 6549943 + ... + 6550025.

Almost surely, 2^543648672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975865968).

543648672 is an abundant number, since it is smaller than the sum of its proper divisors (1408083264).

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

543648672 is a wasteful number, since it uses less digits than its factorization.

543648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 543648672 is about 23316.2748311131. The cubic root of 543648672 is about 816.1552472783.

It can be divided in two parts, 54364 and 8672, that added together give a palindrome (63036).

The spelling of 543648672 in words is "five hundred forty-three million, six hundred forty-eight thousand, six hundred seventy-two".