545724241920 has 1920 divisors, whose sum is σ = 2373428977920. Its totient is φ = 118165340160.

The previous prime is 545724241891. The next prime is 545724241921. The reversal of 545724241920 is 29142427545.

545724241920 is a `hidden beast` number, since 5 + 4 + 572 + 42 + 4 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (545724241921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5100226507 + ... + 5100226613.

It is an arithmetic number, because the mean of its divisors is an integer number (1236160926).

Almost surely, 2^545724241920 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 545724241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186714488960).

545724241920 is an abundant number, since it is smaller than the sum of its proper divisors (1827704736000).

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

545724241920 is a wasteful number, since it uses less digits than its factorization.

545724241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 545724241920 in words is "five hundred forty-five billion, seven hundred twenty-four million, two hundred forty-one thousand, nine hundred twenty".