4537360800 has 540 divisors, whose sum is σ = 19261872630. Its totient is φ = 1036385280.

The previous prime is 4537360799. The next prime is 4537360823. The reversal of 4537360800 is 80637354.

It is a happy number.

4537360800 is a `hidden beast` number, since 45 + 3 + 7 + 3 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2220671376 + 2316689424 = 47124^2 + 48132^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×4537360800³ (a number of 30 digits) contains 333 as substring.

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

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 89 ways as a sum of consecutive naturals, for example, 3174486 + ... + 3175914.

Almost surely, 2^4537360800 is an apocalyptic number.

4537360800 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 4537360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630936315).

4537360800 is an abundant number, since it is smaller than the sum of its proper divisors (14724511830).

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

4537360800 is a wasteful number, since it uses less digits than its factorization.

4537360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4537360800 is about 67359.9346793032. The cubic root of 4537360800 is about 1655.5200247285.

The spelling of 4537360800 in words is "four billion, five hundred thirty-seven million, three hundred sixty thousand, eight hundred".