4535980800 has 432 divisors, whose sum is σ = 17085468960. Its totient is φ = 1049886720.

The previous prime is 4535980781. The next prime is 4535980819. The reversal of 4535980800 is 80895354.

It is an interprime number because it is at equal distance from previous prime (4535980781) and next prime (4535980819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242666 + ... + 4243734.

Almost surely, 2^4535980800 is an apocalyptic number.

4535980800 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 4535980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542734480).

4535980800 is an abundant number, since it is smaller than the sum of its proper divisors (12549488160).

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

4535980800 is a wasteful number, since it uses less digits than its factorization.

4535980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4535980800 is about 67349.6904224511. The cubic root of 4535980800 is about 1655.3521702282.

The spelling of 4535980800 in words is "four billion, five hundred thirty-five million, nine hundred eighty thousand, eight hundred".