9675961344 has 264 divisors, whose sum is σ = 32209102848. Its totient is φ = 2740469760.

The previous prime is 9675961313. The next prime is 9675961367. The reversal of 9675961344 is 4431695769.

9675961344 is a `hidden beast` number, since 9 + 6 + 7 + 596 + 1 + 3 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 8192434 + ... + 8193614.

Almost surely, 2^9675961344 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 9675961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104551424).

9675961344 is an abundant number, since it is smaller than the sum of its proper divisors (22533141504).

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

9675961344 is a wasteful number, since it uses less digits than its factorization.

9675961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 9675961344 is about 98366.4645293303. The cubic root of 9675961344 is about 2130.9080410596.

The spelling of 9675961344 in words is "nine billion, six hundred seventy-five million, nine hundred sixty-one thousand, three hundred forty-four".