9675891360 has 576 divisors, whose sum is σ = 37447038720. Its totient is φ = 2260500480.

The previous prime is 9675891353. The next prime is 9675891373. The reversal of 9675891360 is 631985769.

It is a super-2 number, since 2×9675891360² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9675891297 and 9675891306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33023374 + ... + 33023666.

It is an arithmetic number, because the mean of its divisors is an integer number (65012220).

Almost surely, 2^9675891360 is an apocalyptic number.

9675891360 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 9675891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723519360).

9675891360 is an abundant number, since it is smaller than the sum of its proper divisors (27771147360).

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

9675891360 is a wasteful number, since it uses less digits than its factorization.

9675891360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9675891360 is about 98366.1087976952. The cubic root of 9675891360 is about 2130.9029035915.

The spelling of 9675891360 in words is "nine billion, six hundred seventy-five million, eight hundred ninety-one thousand, three hundred sixty".