540408068820 has 192 divisors, whose sum is σ = 1693458063360. Its totient is φ = 143066300544.

The previous prime is 540408068791. The next prime is 540408068843. The reversal of 540408068820 is 28860804045.

540408068820 is a `hidden beast` number, since 540 + 4 + 0 + 8 + 0 + 6 + 88 + 20 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81789957 + ... + 81796563.

It is an arithmetic number, because the mean of its divisors is an integer number (8820094080).

Almost surely, 2^540408068820 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 540408068820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846729031680).

540408068820 is an abundant number, since it is smaller than the sum of its proper divisors (1153049994540).

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

540408068820 is a wasteful number, since it uses less digits than its factorization.

540408068820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 540408068820 in words is "five hundred forty billion, four hundred eight million, sixty-eight thousand, eight hundred twenty".