4536005760 has 384 divisors, whose sum is σ = 18405092160. Its totient is φ = 1014865920.

The previous prime is 4536005753. The next prime is 4536005783. The reversal of 4536005760 is 675006354.

4536005760 is a `hidden beast` number, since 45 + 3 + 600 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820927 + ... + 826433.

Almost surely, 2^4536005760 is an apocalyptic number.

4536005760 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 4536005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202546080).

4536005760 is an abundant number, since it is smaller than the sum of its proper divisors (13869086400).

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

4536005760 is a wasteful number, since it uses less digits than its factorization.

4536005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4536005760 is about 67349.8757237161. The cubic root of 4536005760 is about 1655.3552065075.

The spelling of 4536005760 in words is "four billion, five hundred thirty-six million, five thousand, seven hundred sixty".