545727744000 has 576 divisors, whose sum is σ = 2082908383920. Its totient is φ = 136957132800.

The previous prime is 545727743987. The next prime is 545727744007. The reversal of 545727744000 is 447727545.

545727744000 is a `hidden beast` number, since 5 + 4 + 572 + 7 + 74 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 223721432064 + 322006311936 = 472992^2 + 567456^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (545727744007) 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 47 ways as a sum of consecutive naturals, for example, 39161034 + ... + 39174966.

Almost surely, 2^545727744000 is an apocalyptic number.

545727744000 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 545727744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041454191960).

545727744000 is an abundant number, since it is smaller than the sum of its proper divisors (1537180639920).

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

545727744000 is a wasteful number, since it uses less digits than its factorization.

545727744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 545727744000 in words is "five hundred forty-five billion, seven hundred twenty-seven million, seven hundred forty-four thousand".