4882636800 has 336 divisors, whose sum is σ = 17958389280. Its totient is φ = 1300561920.

The previous prime is 4882636789. The next prime is 4882636807. The reversal of 4882636800 is 86362884.

It is a happy number.

4882636800 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 636 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4882636807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529159 + ... + 5530041.

Almost surely, 2^4882636800 is an apocalyptic number.

4882636800 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 4882636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979194640).

4882636800 is an abundant number, since it is smaller than the sum of its proper divisors (13075752480).

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

4882636800 is an equidigital number, since it uses as much as digits as its factorization.

4882636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4882636800 is about 69875.8670786989. The cubic root of 4882636800 is about 1696.4906614056.

The spelling of 4882636800 in words is "four billion, eight hundred eighty-two million, six hundred thirty-six thousand, eight hundred".