7728734000 has 320 divisors, whose sum is σ = 21353299968. Its totient is φ = 2685312000.

The previous prime is 7728733993. The next prime is 7728734009. The reversal of 7728734000 is 4378277.

It is not an unprimeable number, because it can be changed into a prime (7728734009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34657889 + ... + 34658111.

Almost surely, 2^7728734000 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 7728734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676649984).

7728734000 is an abundant number, since it is smaller than the sum of its proper divisors (13624565968).

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

7728734000 is a wasteful number, since it uses less digits than its factorization.

7728734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 7728734000 is about 87913.2185737731. The cubic root of 7728734000 is about 1977.1340709329.

The spelling of 7728734000 in words is "seven billion, seven hundred twenty-eight million, seven hundred thirty-four thousand".