9646965000 has 320 divisors, whose sum is σ = 35257464000. Its totient is φ = 2436480000.

The previous prime is 9646964963. The next prime is 9646965001. The reversal of 9646965000 is 5696469.

It is a super-2 number, since 2×9646965000² (a number of 21 digits) contains 22 as substring.

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 (9646965001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2563120 + ... + 2566880.

It is an arithmetic number, because the mean of its divisors is an integer number (110179575).

Almost surely, 2^9646965000 is an apocalyptic number.

9646965000 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 9646965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628732000).

9646965000 is an abundant number, since it is smaller than the sum of its proper divisors (25610499000).

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

9646965000 is a wasteful number, since it uses less digits than its factorization.

9646965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3790 counting only the distinct ones).

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

The square root of 9646965000 is about 98218.9645638764. The cubic root of 9646965000 is about 2128.7773185139. Note that the first 3 decimals are identical.

The spelling of 9646965000 in words is "nine billion, six hundred forty-six million, nine hundred sixty-five thousand".