9675172416 has 224 divisors, whose sum is σ = 32524484608. Its totient is φ = 2469242880.

The previous prime is 9675172373. The next prime is 9675172471. The reversal of 9675172416 is 6142715769.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×9675172416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 532701 + ... + 550563.

It is an arithmetic number, because the mean of its divisors is an integer number (145198592).

Almost surely, 2^9675172416 is an apocalyptic number.

9675172416 is a gapful number since it is divisible by the number (96) 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 9675172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262242304).

9675172416 is an abundant number, since it is smaller than the sum of its proper divisors (22849312192).

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

9675172416 is a wasteful number, since it uses less digits than its factorization.

9675172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17929 (or 17919 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 9675172416 is about 98362.4543004088. The cubic root of 9675172416 is about 2130.8501250672.

The spelling of 9675172416 in words is "nine billion, six hundred seventy-five million, one hundred seventy-two thousand, four hundred sixteen".