543009819664 has 135 divisors (see below), whose sum is σ = 1173923596503. Its totient is φ = 243209730816.

The previous prime is 543009819623. The next prime is 543009819697. The reversal of 543009819664 is 466918900345.

It is a happy number.

The square root of 543009819664 is 736892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2255490064 + 540754329600 = 47492^2 + 735360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1417780017 + ... + 1417780399.

Almost surely, 2^543009819664 is an apocalyptic number.

543009819664 is the 736892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543009819664

543009819664 is an abundant number, since it is smaller than the sum of its proper divisors (630913776839).

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

543009819664 is an equidigital number, since it uses as much as digits as its factorization.

543009819664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 543009819664 in words is "five hundred forty-three billion, nine million, eight hundred nineteen thousand, six hundred sixty-four".