4825665600 has 336 divisors, whose sum is σ = 19048780800. Its totient is φ = 1044817920.

The previous prime is 4825665599. The next prime is 4825665629. The reversal of 4825665600 is 65665284.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 634621 + ... + 642179.

It is an arithmetic number, because the mean of its divisors is an integer number (56692800).

Almost surely, 2^4825665600 is an apocalyptic number.

4825665600 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 4825665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524390400).

4825665600 is an abundant number, since it is smaller than the sum of its proper divisors (14223115200).

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

4825665600 is a wasteful number, since it uses less digits than its factorization.

4825665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4825665600 is about 69467.0108756667. The cubic root of 4825665600 is about 1689.8665440873.

The spelling of 4825665600 in words is "four billion, eight hundred twenty-five million, six hundred sixty-five thousand, six hundred".