4782712320 has 480 divisors, whose sum is σ = 17453820384. Its totient is φ = 1209139200.

The previous prime is 4782712301. The next prime is 4782712327. The reversal of 4782712320 is 232172874.

It is a tau number, because it is divible by the number of its divisors (480).

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 (4782712327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57622999 + ... + 57623081.

Almost surely, 2^4782712320 is an apocalyptic number.

4782712320 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 4782712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726910192).

4782712320 is an abundant number, since it is smaller than the sum of its proper divisors (12671108064).

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

4782712320 is a wasteful number, since it uses less digits than its factorization.

4782712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4782712320 is about 69157.1566795512. The cubic root of 4782712320 is about 1684.8377564232.

The spelling of 4782712320 in words is "four billion, seven hundred eighty-two million, seven hundred twelve thousand, three hundred twenty".