4932720000 has 960 divisors, whose sum is σ = 20877816960. Its totient is φ = 1105920000.

The previous prime is 4932719993. The next prime is 4932720041. The reversal of 4932720000 is 272394.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 159119985 + ... + 159120015.

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

Almost surely, 2^4932720000 is an apocalyptic number.

4932720000 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 4932720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438908480).

4932720000 is an abundant number, since it is smaller than the sum of its proper divisors (15945096960).

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

4932720000 is a wasteful number, since it uses less digits than its factorization.

4932720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4932720000 is about 70233.3254231921. The cubic root of 4932720000 is about 1702.2714733984.

Adding to 4932720000 its reverse (272394), we get a palindrome (4932992394).

The spelling of 4932720000 in words is "four billion, nine hundred thirty-two million, seven hundred twenty thousand".