544504135680 has 720 divisors, whose sum is σ = 2073899449440. Its totient is φ = 136574926848.

The previous prime is 544504135639. The next prime is 544504135687. The reversal of 544504135680 is 86531405445.

544504135680 is a `hidden beast` number, since 5 + 4 + 4 + 504 + 13 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544504135687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338410716 + ... + 338412324.

It is an arithmetic number, because the mean of its divisors is an integer number (2880415902).

Almost surely, 2^544504135680 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 544504135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036949724720).

544504135680 is an abundant number, since it is smaller than the sum of its proper divisors (1529395313760).

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

544504135680 is an equidigital number, since it uses as much as digits as its factorization.

544504135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 544504135680 in words is "five hundred forty-four billion, five hundred four million, one hundred thirty-five thousand, six hundred eighty".