4536725760 has 1080 divisors, whose sum is σ = 20300353920. Its totient is φ = 961486848.

The previous prime is 4536725749. The next prime is 4536725761. The reversal of 4536725760 is 675276354.

4536725760 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 72 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (4536725761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96526057 + ... + 96526103.

It is an arithmetic number, because the mean of its divisors is an integer number (18796624).

Almost surely, 2^4536725760 is an apocalyptic number.

4536725760 is a gapful number since it is divisible by the number (40) 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 4536725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150176960).

4536725760 is an abundant number, since it is smaller than the sum of its proper divisors (15763628160).

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

4536725760 is a wasteful number, since it uses less digits than its factorization.

4536725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 4536725760 is about 67355.2207330657. The cubic root of 4536725760 is about 1655.4427866942.

The spelling of 4536725760 in words is "four billion, five hundred thirty-six million, seven hundred twenty-five thousand, seven hundred sixty".