9675417264 has 160 divisors (see below), whose sum is σ = 26900153280. Its totient is φ = 2985984000.

The previous prime is 9675417259. The next prime is 9675417277. The reversal of 9675417264 is 4627145769.

It is a happy number.

It is a super-2 number, since 2×9675417264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16098564 + ... + 16099164.

It is an arithmetic number, because the mean of its divisors is an integer number (168125958).

Almost surely, 2^9675417264 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 9675417264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450076640).

9675417264 is an abundant number, since it is smaller than the sum of its proper divisors (17224736016).

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

9675417264 is a wasteful number, since it uses less digits than its factorization.

9675417264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 9675417264 is about 98363.6989137761. The cubic root of 9675417264 is about 2130.8680999403.

The spelling of 9675417264 in words is "nine billion, six hundred seventy-five million, four hundred seventeen thousand, two hundred sixty-four".