4506321600 has 840 divisors, whose sum is σ = 18864529200. Its totient is φ = 1045094400.

The previous prime is 4506321587. The next prime is 4506321607. The reversal of 4506321600 is 61236054.

4506321600 is a `hidden beast` number, since 4 + 50 + 6 + 3 + 2 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4506321607) 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, 41342346 + ... + 41342454.

Almost surely, 2^4506321600 is an apocalyptic number.

4506321600 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 4506321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432264600).

4506321600 is an abundant number, since it is smaller than the sum of its proper divisors (14358207600).

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

4506321600 is a wasteful number, since it uses less digits than its factorization.

4506321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4506321600 is about 67129.1412130380. The cubic root of 4506321600 is about 1651.7363539499.

Adding to 4506321600 its reverse (61236054), we get a palindrome (4567557654).

The spelling of 4506321600 in words is "four billion, five hundred six million, three hundred twenty-one thousand, six hundred".