4540536000 has 1680 divisors, whose sum is σ = 22956085152. Its totient is φ = 870912000.

The previous prime is 4540535921. The next prime is 4540536019. The reversal of 4540536000 is 6350454.

4540536000 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 349271994 + ... + 349272006.

Almost surely, 2^4540536000 is an apocalyptic number.

4540536000 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 4540536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478042576).

4540536000 is an abundant number, since it is smaller than the sum of its proper divisors (18415549152).

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

4540536000 is a wasteful number, since it uses less digits than its factorization.

4540536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4540536000 is about 67383.4994638895. The cubic root of 4540536000 is about 1655.9061068378.

Adding to 4540536000 its reverse (6350454), we get a palindrome (4546886454).

The spelling of 4540536000 in words is "four billion, five hundred forty million, five hundred thirty-six thousand".