9676800000 has 720 divisors, whose sum is σ = 40956128640. Its totient is φ = 2211840000.

The previous prime is 9676799989. The next prime is 9676800019. The reversal of 9676800000 is 86769.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382399997 + ... + 1382400003.

It is an arithmetic number, because the mean of its divisors is an integer number (56883512).

Almost surely, 2^9676800000 is an apocalyptic number.

9676800000 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 9676800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478064320).

9676800000 is an abundant number, since it is smaller than the sum of its proper divisors (31279328640).

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

9676800000 is an frugal number, since it uses more digits than its factorization.

9676800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9676800000 is about 98370.7273532121. The cubic root of 9676800000 is about 2130.9696041822.

Adding to 9676800000 its reverse (86769), we get a palindrome (9676886769).

The spelling of 9676800000 in words is "nine billion, six hundred seventy-six million, eight hundred thousand".