545336064000 has 2880 divisors, whose sum is σ = 2657787612480. Its totient is φ = 108291686400.

The previous prime is 545336063977. The next prime is 545336064001. The reversal of 545336064000 is 460633545.

545336064000 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 3 + 6 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545336064001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32078591992 + ... + 32078592008.

It is an arithmetic number, because the mean of its divisors is an integer number (922842921).

Almost surely, 2^545336064000 is an apocalyptic number.

545336064000 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 545336064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328893806240).

545336064000 is an abundant number, since it is smaller than the sum of its proper divisors (2112451548480).

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

545336064000 is a wasteful number, since it uses less digits than its factorization.

545336064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 545336064000 its reverse (460633545), we get a palindrome (545796697545).

The spelling of 545336064000 in words is "five hundred forty-five billion, three hundred thirty-six million, sixty-four thousand".