4873144320 has 864 divisors, whose sum is σ = 20391134400. Its totient is φ = 1070530560.

The previous prime is 4873144303. The next prime is 4873144321. The reversal of 4873144320 is 234413784.

4873144320 is a `hidden beast` number, since 487 + 3 + 144 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873144321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211875829 + ... + 211875851.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^4873144320 is an apocalyptic number.

4873144320 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 4873144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195567200).

4873144320 is an abundant number, since it is smaller than the sum of its proper divisors (15517990080).

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

4873144320 is a wasteful number, since it uses less digits than its factorization.

4873144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4873144320 is about 69807.9101535062. The cubic root of 4873144320 is about 1695.3905487925.

The spelling of 4873144320 in words is "four billion, eight hundred seventy-three million, one hundred forty-four thousand, three hundred twenty".