4821223680 has 1080 divisors, whose sum is σ = 21907465272. Its totient is φ = 1003290624.

The previous prime is 4821223679. The next prime is 4821223699. The reversal of 4821223680 is 863221284.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 4698279936 = 11088^2 + 68544^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 66044124 + ... + 66044196.

Almost surely, 2^4821223680 is an apocalyptic number.

4821223680 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 4821223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953732636).

4821223680 is an abundant number, since it is smaller than the sum of its proper divisors (17086241592).

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

4821223680 is a wasteful number, since it uses less digits than its factorization.

4821223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4821223680 is about 69435.0320803555. The cubic root of 4821223680 is about 1689.3478898115.

The spelling of 4821223680 in words is "four billion, eight hundred twenty-one million, two hundred twenty-three thousand, six hundred eighty".