4712320800 has 540 divisors, whose sum is σ = 18920636658. Its totient is φ = 1140480000.

The previous prime is 4712320783. The next prime is 4712320807. The reversal of 4712320800 is 80232174.

It can be written as a sum of positive squares in 3 ways, for example, as 4166444304 + 545876496 = 64548^2 + 23364^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4712320800² = 44411934644225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4712320807) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840500 + ... + 7841100.

Almost surely, 2^4712320800 is an apocalyptic number.

4712320800 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 4712320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460318329).

4712320800 is an abundant number, since it is smaller than the sum of its proper divisors (14208315858).

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

4712320800 is a wasteful number, since it uses less digits than its factorization.

4712320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4712320800 is about 68646.3458605045. The cubic root of 4712320800 is about 1676.5311076083.

Adding to 4712320800 its reverse (80232174), we get a palindrome (4792552974).

The spelling of 4712320800 in words is "four billion, seven hundred twelve million, three hundred twenty thousand, eight hundred".