4632825600 has 648 divisors, whose sum is σ = 18682241760. Its totient is φ = 1086750720.

The previous prime is 4632825599. The next prime is 4632825679. The reversal of 4632825600 is 65282364.

4632825600 is a `hidden beast` number, since 4 + 6 + 3 + 28 + 25 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17222266 + ... + 17222534.

It is an arithmetic number, because the mean of its divisors is an integer number (28830620).

Almost surely, 2^4632825600 is an apocalyptic number.

4632825600 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 4632825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

4632825600 is an abundant number, since it is smaller than the sum of its proper divisors (14049416160).

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

4632825600 is a wasteful number, since it uses less digits than its factorization.

4632825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4632825600 is about 68064.8631821147. The cubic root of 4632825600 is about 1667.0500948940.

The spelling of 4632825600 in words is "four billion, six hundred thirty-two million, eight hundred twenty-five thousand, six hundred".