4551825600 has 378 divisors, whose sum is σ = 18822529284. Its totient is φ = 1040256000.

The previous prime is 4551825569. The next prime is 4551825601. The reversal of 4551825600 is 65281554.

4551825600 is a `hidden beast` number, since 45 + 5 + 1 + 8 + 2 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4551825601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 702375 + ... + 708825.

Almost surely, 2^4551825600 is an apocalyptic number.

4551825600 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 4551825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411264642).

4551825600 is an abundant number, since it is smaller than the sum of its proper divisors (14270703684).

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

4551825600 is a wasteful number, since it uses less digits than its factorization.

4551825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4551825600 is about 67467.2187065689. The cubic root of 4551825600 is about 1657.2773873003.

The spelling of 4551825600 in words is "four billion, five hundred fifty-one million, eight hundred twenty-five thousand, six hundred".