4812376320 has 288 divisors, whose sum is σ = 18084003840. Its totient is φ = 1207664640.

The previous prime is 4812376291. The next prime is 4812376343. The reversal of 4812376320 is 236732184.

It is a happy number.

4812376320 is a `hidden beast` number, since 4 + 8 + 12 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 583425 + ... + 591615.

It is an arithmetic number, because the mean of its divisors is an integer number (62791680).

Almost surely, 2^4812376320 is an apocalyptic number.

4812376320 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 4812376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042001920).

4812376320 is an abundant number, since it is smaller than the sum of its proper divisors (13271627520).

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

4812376320 is a wasteful number, since it uses less digits than its factorization.

4812376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4812376320 is about 69371.2931982675. The cubic root of 4812376320 is about 1688.3138908495.

The spelling of 4812376320 in words is "four billion, eight hundred twelve million, three hundred seventy-six thousand, three hundred twenty".