4983556800 has 336 divisors, whose sum is σ = 17467051680. Its totient is φ = 1239613440.

The previous prime is 4983556789. The next prime is 4983556843. The reversal of 4983556800 is 86553894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4983556800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12811006 + ... + 12811394.

Almost surely, 2^4983556800 is an apocalyptic number.

4983556800 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 4983556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733525840).

4983556800 is an abundant number, since it is smaller than the sum of its proper divisors (12483494880).

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

4983556800 is a wasteful number, since it uses less digits than its factorization.

4983556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 4983556800 is about 70594.3113855500. The cubic root of 4983556800 is about 1708.0993896316.

The spelling of 4983556800 in words is "four billion, nine hundred eighty-three million, five hundred fifty-six thousand, eight hundred".