4875129600 has 432 divisors, whose sum is σ = 18011597184. Its totient is φ = 1150976000.

The previous prime is 4875129563. The next prime is 4875129667. The reversal of 4875129600 is 69215784.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8658919 + ... + 8659481.

It is an arithmetic number, because the mean of its divisors is an integer number (41693512).

Almost surely, 2^4875129600 is an apocalyptic number.

4875129600 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 4875129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005798592).

4875129600 is an abundant number, since it is smaller than the sum of its proper divisors (13136467584).

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

4875129600 is a wasteful number, since it uses less digits than its factorization.

4875129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4875129600 is about 69822.1282975533. The cubic root of 4875129600 is about 1695.6207470493.

The spelling of 4875129600 in words is "four billion, eight hundred seventy-five million, one hundred twenty-nine thousand, six hundred".