540473749966080 has 8064 divisors, whose sum is σ = 2553084592128000. Its totient is φ = 109032608563200.

The previous prime is 540473749966037. The next prime is 540473749966081. The reversal of 540473749966080 is 80669947374045.

It is a happy number.

540473749966080 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 7 + 3 + 7 + 4 + 9 + 9 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×540473749966080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540473749966081) by changing a digit.

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 895 ways as a sum of consecutive naturals, for example, 8860225409250 + ... + 8860225409310.

It is an arithmetic number, because the mean of its divisors is an integer number (316602752000).

Almost surely, 2^{540473749966080} 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 540473749966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276542296064000).

540473749966080 is an abundant number, since it is smaller than the sum of its proper divisors (2012610842161920).

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

540473749966080 is an equidigital number, since it uses as much as digits as its factorization.

540473749966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 540473749966080 in words is "five hundred forty trillion, four hundred seventy-three billion, seven hundred forty-nine million, nine hundred sixty-six thousand, eighty".