4752720000 has 960 divisors, whose sum is σ = 20877816960. Its totient is φ = 1013760000.

The previous prime is 4752719989. The next prime is 4752720001. The reversal of 4752720000 is 272574.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4752720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115919980 + ... + 115920020.

It is an arithmetic number, because the mean of its divisors is an integer number (21747726).

Almost surely, 2^4752720000 is an apocalyptic number.

4752720000 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 4752720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438908480).

4752720000 is an abundant number, since it is smaller than the sum of its proper divisors (16125096960).

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

4752720000 is a wasteful number, since it uses less digits than its factorization.

4752720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4752720000 is about 68939.9738903345. The cubic root of 4752720000 is about 1681.3085043879.

Adding to 4752720000 its reverse (272574), we get a palindrome (4752992574).

The spelling of 4752720000 in words is "four billion, seven hundred fifty-two million, seven hundred twenty thousand".