9696672000 has 864 divisors, whose sum is σ = 38301943680. Its totient is φ = 2438553600.

The previous prime is 9696671987. The next prime is 9696672017. The reversal of 9696672000 is 2766969.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225503979 + ... + 225504021.

Almost surely, 2^9696672000 is an apocalyptic number.

9696672000 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 9696672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150971840).

9696672000 is an abundant number, since it is smaller than the sum of its proper divisors (28605271680).

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

9696672000 is an equidigital number, since it uses as much as digits as its factorization.

9696672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9696672000 is about 98471.6812083555. The cubic root of 9696672000 is about 2132.4273062368.

The spelling of 9696672000 in words is "nine billion, six hundred ninety-six million, six hundred seventy-two thousand".