540587673699840 has 720 divisors, whose sum is σ = 2146554514941408. Its totient is φ = 125240205901824.

The previous prime is 540587673699803. The next prime is 540587673699881. The reversal of 540587673699840 is 48996376785045.

540587673699840 is a `hidden beast` number, since 5 + 40 + 5 + 87 + 67 + 369 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 540587673699840.

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 71 ways as a sum of consecutive naturals, for example, 62110557 + ... + 70277283.

Almost surely, 2^{540587673699840} 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 540587673699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073277257470704).

540587673699840 is an abundant number, since it is smaller than the sum of its proper divisors (1605966841241568).

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

540587673699840 is a wasteful number, since it uses less digits than its factorization.

540587673699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166799 (or 8166767 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 540587673699840 in words is "five hundred forty trillion, five hundred eighty-seven billion, six hundred seventy-three million, six hundred ninety-nine thousand, eight hundred forty".