9569664000 has 880 divisors, whose sum is σ = 38948285376. Its totient is φ = 2322432000.

The previous prime is 9569663989. The next prime is 9569664011. The reversal of 9569664000 is 4669659.

It is an interprime number because it is at equal distance from previous prime (9569663989) and next prime (9569664011).

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 79 ways as a sum of consecutive naturals, for example, 134783965 + ... + 134784035.

Almost surely, 2^9569664000 is an apocalyptic number.

9569664000 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 9569664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474142688).

9569664000 is an abundant number, since it is smaller than the sum of its proper divisors (29378621376).

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

9569664000 is a wasteful number, since it uses less digits than its factorization.

9569664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9569664000 is about 97824.6594678458. The cubic root of 9569664000 is about 2123.0761087680.

The spelling of 9569664000 in words is "nine billion, five hundred sixty-nine million, six hundred sixty-four thousand".