9673265664 has 240 divisors, whose sum is σ = 29438240832. Its totient is φ = 3051823104.

The previous prime is 9673265639. The next prime is 9673265689. The reversal of 9673265664 is 4665623769.

9673265664 is a `hidden beast` number, since 9 + 6 + 73 + 2 + 6 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9673265639) and next prime (9673265689).

It is a self number, because there is not a number n which added to its sum of digits gives 9673265664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11339862 + ... + 11340714.

Almost surely, 2^9673265664 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 9673265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719120416).

9673265664 is an abundant number, since it is smaller than the sum of its proper divisors (19764975168).

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

9673265664 is a wasteful number, since it uses less digits than its factorization.

9673265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 988 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 9673265664 is about 98352.7613440517. The cubic root of 9673265664 is about 2130.7101354973.

The spelling of 9673265664 in words is "nine billion, six hundred seventy-three million, two hundred sixty-five thousand, six hundred sixty-four".