4752144320 has 336 divisors, whose sum is σ = 14447885760. Its totient is φ = 1457111040.

The previous prime is 4752144289. The next prime is 4752144347. The reversal of 4752144320 is 234412574.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24122462 + ... + 24122658.

It is an arithmetic number, because the mean of its divisors is an integer number (42999660).

Almost surely, 2^4752144320 is an apocalyptic number.

4752144320 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 4752144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223942880).

4752144320 is an abundant number, since it is smaller than the sum of its proper divisors (9695741440).

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

4752144320 is a wasteful number, since it uses less digits than its factorization.

4752144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 4752144320 is about 68935.7985374798. The cubic root of 4752144320 is about 1681.2406180154.

Adding to 4752144320 its reverse (234412574), we get a palindrome (4986556894).

The spelling of 4752144320 in words is "four billion, seven hundred fifty-two million, one hundred forty-four thousand, three hundred twenty".