540917664768 has 704 divisors, whose sum is σ = 1823840972800. Its totient is φ = 157182197760.

The previous prime is 540917664733. The next prime is 540917664769. The reversal of 540917664768 is 867466719045.

It is a happy number.

540917664768 is a `hidden beast` number, since 5 + 4 + 0 + 91 + 76 + 6 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (540917664769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479111628 + ... + 479112756.

It is an arithmetic number, because the mean of its divisors is an integer number (2590683200).

Almost surely, 2^540917664768 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 540917664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911920486400).

540917664768 is an abundant number, since it is smaller than the sum of its proper divisors (1282923308032).

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

540917664768 is a wasteful number, since it uses less digits than its factorization.

540917664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 540917664768 in words is "five hundred forty billion, nine hundred seventeen million, six hundred sixty-four thousand, seven hundred sixty-eight".