9657792000 has 720 divisors, whose sum is σ = 37692132192. Its totient is φ = 2463436800.

The previous prime is 9657791981. The next prime is 9657792007. The reversal of 9657792000 is 2977569.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9657792007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419903989 + ... + 419904011.

Almost surely, 2^9657792000 is an apocalyptic number.

9657792000 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 9657792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18846066096).

9657792000 is an abundant number, since it is smaller than the sum of its proper divisors (28034340192).

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

9657792000 is an frugal number, since it uses more digits than its factorization.

9657792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 9657792000 is about 98274.0657549081. The cubic root of 9657792000 is about 2129.5734118923.

The spelling of 9657792000 in words is "nine billion, six hundred fifty-seven million, seven hundred ninety-two thousand".