540817326720 has 320 divisors, whose sum is σ = 2106936390240. Its totient is φ = 131107092480.

The previous prime is 540817326703. The next prime is 540817326739. The reversal of 540817326720 is 27623718045.

540817326720 is a `hidden beast` number, since 5 + 408 + 173 + 2 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 96039 + ... + 1044441.

Almost surely, 2^540817326720 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 540817326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053468195120).

540817326720 is an abundant number, since it is smaller than the sum of its proper divisors (1566119063520).

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

540817326720 is a wasteful number, since it uses less digits than its factorization.

540817326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948445 (or 948424 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 540817326720 in words is "five hundred forty billion, eight hundred seventeen million, three hundred twenty-six thousand, seven hundred twenty".