540497846784 has 320 divisors, whose sum is σ = 1674218557440. Its totient is φ = 151763189760.

The previous prime is 540497846783. The next prime is 540497846821. The reversal of 540497846784 is 487648794045.

It is not an unprimeable number, because it can be changed into a prime (540497846783) 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 31 ways as a sum of consecutive naturals, for example, 197910699 + ... + 197913429.

It is an arithmetic number, because the mean of its divisors is an integer number (5231932992).

Almost surely, 2^540497846784 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 540497846784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837109278720).

540497846784 is an abundant number, since it is smaller than the sum of its proper divisors (1133720710656).

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

540497846784 is a wasteful number, since it uses less digits than its factorization.

540497846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 540497846784 in words is "five hundred forty billion, four hundred ninety-seven million, eight hundred forty-six thousand, seven hundred eighty-four".