9768729600 has 660 divisors, whose sum is σ = 41401377424. Its totient is φ = 2229534720.

The previous prime is 9768729589. The next prime is 9768729631. The reversal of 9768729600 is 69278679.

9768729600 is a `hidden beast` number, since 9 + 7 + 6 + 8 + 7 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14514864 + ... + 14515536.

Almost surely, 2^9768729600 is an apocalyptic number.

9768729600 is a gapful number since it is divisible by the number (90) 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 9768729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700688712).

9768729600 is an abundant number, since it is smaller than the sum of its proper divisors (31632647824).

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

9768729600 is a wasteful number, since it uses less digits than its factorization.

9768729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 9768729600 is about 98836.8838035680. The cubic root of 9768729600 is about 2137.6964177768.

The spelling of 9768729600 in words is "nine billion, seven hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred".