540317453760 has 672 divisors, whose sum is σ = 2172789964800. Its totient is φ = 120694579200.

The previous prime is 540317453747. The next prime is 540317453777. The reversal of 540317453760 is 67354713045.

540317453760 is a `hidden beast` number, since 5 + 40 + 3 + 1 + 74 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160854961 + ... + 160858319.

It is an arithmetic number, because the mean of its divisors is an integer number (3233318400).

Almost surely, 2^540317453760 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 540317453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086394982400).

540317453760 is an abundant number, since it is smaller than the sum of its proper divisors (1632472511040).

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

540317453760 is a wasteful number, since it uses less digits than its factorization.

540317453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 540317453760 in words is "five hundred forty billion, three hundred seventeen million, four hundred fifty-three thousand, seven hundred sixty".