4881676800 has 960 divisors, whose sum is σ = 21822603264. Its totient is φ = 928972800.

The previous prime is 4881676753. The next prime is 4881676801. The reversal of 4881676800 is 86761884.

It is a tau number, because it is divible by the number of its divisors (960).

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 4881676800.

It is not an unprimeable number, because it can be changed into a prime (4881676801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38438337 + ... + 38438463.

Almost surely, 2^4881676800 is an apocalyptic number.

4881676800 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 4881676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911301632).

4881676800 is an abundant number, since it is smaller than the sum of its proper divisors (16940926464).

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

4881676800 is a wasteful number, since it uses less digits than its factorization.

4881676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 4881676800 is about 69868.9974165939. The cubic root of 4881676800 is about 1696.3794689051.

The spelling of 4881676800 in words is "four billion, eight hundred eighty-one million, six hundred seventy-six thousand, eight hundred".