4824720000 has 240 divisors, whose sum is σ = 17351578530. Its totient is φ = 1286400000.

The previous prime is 4824719897. The next prime is 4824720001. The reversal of 4824720000 is 274284.

It can be written as a sum of positive squares in 5 ways, for example, as 17239104 + 4807480896 = 4152^2 + 69336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4824720001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 716650 + ... + 723350.

Almost surely, 2^4824720000 is an apocalyptic number.

4824720000 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 4824720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675789265).

4824720000 is an abundant number, since it is smaller than the sum of its proper divisors (12526858530).

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

4824720000 is an equidigital number, since it uses as much as digits as its factorization.

4824720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4824720000 is about 69460.2044339059. The cubic root of 4824720000 is about 1689.7561591635.

Adding to 4824720000 its reverse (274284), we get a palindrome (4824994284).

The spelling of 4824720000 in words is "four billion, eight hundred twenty-four million, seven hundred twenty thousand".