540964821744 has 240 divisors, whose sum is σ = 1558417248960. Its totient is φ = 175127961600.

The previous prime is 540964821721. The next prime is 540964821757. The reversal of 540964821744 is 447128469045.

540964821744 is a `hidden beast` number, since 5 + 4 + 0 + 96 + 482 + 1 + 74 + 4 = 666.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 163283832 + ... + 163287144.

It is an arithmetic number, because the mean of its divisors is an integer number (6493405204).

Almost surely, 2^540964821744 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 540964821744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779208624480).

540964821744 is an abundant number, since it is smaller than the sum of its proper divisors (1017452427216).

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

540964821744 is a wasteful number, since it uses less digits than its factorization.

540964821744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 540964821744 in words is "five hundred forty billion, nine hundred sixty-four million, eight hundred twenty-one thousand, seven hundred forty-four".