540067766340960 has 1440 divisors, whose sum is σ = 2257064747673120. Its totient is φ = 120806283755520.

The previous prime is 540067766340937. The next prime is 540067766340997. The reversal of 540067766340960 is 69043667760045.

540067766340960 is a `hidden beast` number, since 5 + 40 + 0 + 6 + 7 + 76 + 63 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84663387051 + ... + 84663393429.

It is an arithmetic number, because the mean of its divisors is an integer number (1567406074773).

Almost surely, 2^{540067766340960} 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 540067766340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128532373836560).

540067766340960 is an abundant number, since it is smaller than the sum of its proper divisors (1716996981332160).

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

540067766340960 is a wasteful number, since it uses less digits than its factorization.

540067766340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 540067766340960 in words is "five hundred forty trillion, sixty-seven billion, seven hundred sixty-six million, three hundred forty thousand, nine hundred sixty".