4813324560 has 640 divisors, whose sum is σ = 19063779840. Its totient is φ = 1119744000.

The previous prime is 4813324543. The next prime is 4813324573. The reversal of 4813324560 is 654233184.

4813324560 is a `hidden beast` number, since 48 + 1 + 33 + 24 + 560 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 78906930 + ... + 78906990.

It is an arithmetic number, because the mean of its divisors is an integer number (29787156).

Almost surely, 2^4813324560 is an apocalyptic number.

4813324560 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 4813324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531889920).

4813324560 is an abundant number, since it is smaller than the sum of its proper divisors (14250455280).

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

4813324560 is a wasteful number, since it uses less digits than its factorization.

4813324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4813324560 is about 69378.1273889689. The cubic root of 4813324560 is about 1688.4247731191.

The spelling of 4813324560 in words is "four billion, eight hundred thirteen million, three hundred twenty-four thousand, five hundred sixty".