7728864000 has 576 divisors, whose sum is σ = 30213001728. Its totient is φ = 1726464000.

The previous prime is 7728863963. The next prime is 7728864001. The reversal of 7728864000 is 4688277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728864001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13727719 + ... + 13728281.

It is an arithmetic number, because the mean of its divisors is an integer number (52453128).

Almost surely, 2^7728864000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106500864).

7728864000 is an abundant number, since it is smaller than the sum of its proper divisors (22484137728).

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

7728864000 is a wasteful number, since it uses less digits than its factorization.

7728864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7728864000 is about 87913.9579361548. The cubic root of 7728864000 is about 1977.1451562322.

The spelling of 7728864000 in words is "seven billion, seven hundred twenty-eight million, eight hundred sixty-four thousand".