540643449600 has 648 divisors, whose sum is σ = 2084453826000. Its totient is φ = 133241241600.

The previous prime is 540643449553. The next prime is 540643449601. The reversal of 540643449600 is 6944346045.

540643449600 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 4 + 34 + 4 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (540643449601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 44864376 + ... + 44876424.

Almost surely, 2^540643449600 is an apocalyptic number.

540643449600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540643449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042226913000).

540643449600 is an abundant number, since it is smaller than the sum of its proper divisors (1543810376400).

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

540643449600 is a wasteful number, since it uses less digits than its factorization.

540643449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 540643449600 in words is "five hundred forty billion, six hundred forty-three million, four hundred forty-nine thousand, six hundred".