9657822720 has 480 divisors, whose sum is σ = 38244552192. Its totient is φ = 2035777536.

The previous prime is 9657822719. The next prime is 9657822731. The reversal of 9657822720 is 272287569.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9657822720.

It is a congruent number.

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, 9084909 + ... + 9085971.

Almost surely, 2^9657822720 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 9657822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122276096).

9657822720 is an abundant number, since it is smaller than the sum of its proper divisors (28586729472).

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

9657822720 is a wasteful number, since it uses less digits than its factorization.

9657822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 9657822720 is about 98274.2220523775. Note that the first 3 decimals coincide. The cubic root of 9657822720 is about 2129.5756698420.

The spelling of 9657822720 in words is "nine billion, six hundred fifty-seven million, eight hundred twenty-two thousand, seven hundred twenty".