543132663840 has 288 divisors, whose sum is σ = 2006367919920. Its totient is φ = 133000593408.

The previous prime is 543132663833. The next prime is 543132663847. The reversal of 543132663840 is 48366231345.

543132663840 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 3 + 2 + 6 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (543132663833) and next prime (543132663847).

It can be written as a sum of positive squares in 8 ways, for example, as 161401455504 + 381731208336 = 401748^2 + 617844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×543132663840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (543132663847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3537796 + ... + 3688124.

Almost surely, 2^543132663840 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 543132663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003183959960).

543132663840 is an abundant number, since it is smaller than the sum of its proper divisors (1463235256080).

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

543132663840 is a wasteful number, since it uses less digits than its factorization.

543132663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150556 (or 150545 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 543132663840 in words is "five hundred forty-three billion, one hundred thirty-two million, six hundred sixty-three thousand, eight hundred forty".