4812633600 has 120 divisors (see below), whose sum is σ = 15898361160. Its totient is φ = 1283358720.

The previous prime is 4812633593. The next prime is 4812633601. The reversal of 4812633600 is 63362184.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4812633600² = 46322884335697920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812633601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24265 + ... + 101064.

It is an arithmetic number, because the mean of its divisors is an integer number (132486343).

Almost surely, 2^4812633600 is an apocalyptic number.

4812633600 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 4812633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949180580).

4812633600 is an abundant number, since it is smaller than the sum of its proper divisors (11085727560).

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

4812633600 is a wasteful number, since it uses less digits than its factorization.

4812633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125360 (or 125339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4812633600 is about 69373.1475428353. The cubic root of 4812633600 is about 1688.3439772786.

Adding to 4812633600 its reverse (63362184), we get a palindrome (4875995784).

The spelling of 4812633600 in words is "four billion, eight hundred twelve million, six hundred thirty-three thousand, six hundred".