4825008000 has 768 divisors, whose sum is σ = 19287253440. Its totient is φ = 1194393600.

The previous prime is 4825007987. The next prime is 4825008053. The reversal of 4825008000 is 8005284.

4825008000 is a `hidden beast` number, since 4 + 82 + 500 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66095964 + ... + 66096036.

Almost surely, 2^4825008000 is an apocalyptic number.

4825008000 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 4825008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643626720).

4825008000 is an abundant number, since it is smaller than the sum of its proper divisors (14462245440).

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

4825008000 is an equidigital number, since it uses as much as digits as its factorization.

4825008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4825008000 is about 69462.2775324852. The cubic root of 4825008000 is about 1689.7897804646.

The spelling of 4825008000 in words is "four billion, eight hundred twenty-five million, eight thousand".