4875024000 has 512 divisors, whose sum is σ = 20163686400. Its totient is φ = 1012224000.

The previous prime is 4875023983. The next prime is 4875024017. The reversal of 4875024000 is 4205784.

It is an interprime number because it is at equal distance from previous prime (4875023983) and next prime (4875024017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3695341 + ... + 3696659.

It is an arithmetic number, because the mean of its divisors is an integer number (39382200).

Almost surely, 2^4875024000 is an apocalyptic number.

4875024000 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 4875024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081843200).

4875024000 is an abundant number, since it is smaller than the sum of its proper divisors (15288662400).

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

4875024000 is a wasteful number, since it uses less digits than its factorization.

4875024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4875024000 is about 69821.3720862029. The cubic root of 4875024000 is about 1695.6085040350.

Adding to 4875024000 its reverse (4205784), we get a palindrome (4879229784).

The spelling of 4875024000 in words is "four billion, eight hundred seventy-five million, twenty-four thousand".