9671974560 has 576 divisors, whose sum is σ = 36837642240. Its totient is φ = 2368880640.

The previous prime is 9671974541. The next prime is 9671974561. The reversal of 9671974560 is 654791769.

9671974560 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 9 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9671974497 and 9671974506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9671974561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76157217 + ... + 76157343.

It is an arithmetic number, because the mean of its divisors is an integer number (63954240).

Almost surely, 2^9671974560 is an apocalyptic number.

9671974560 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 9671974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418821120).

9671974560 is an abundant number, since it is smaller than the sum of its proper divisors (27165667680).

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

9671974560 is a wasteful number, since it uses less digits than its factorization.

9671974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9671974560 is about 98346.1974862272. The cubic root of 9671974560 is about 2130.6153350140.

The spelling of 9671974560 in words is "nine billion, six hundred seventy-one million, nine hundred seventy-four thousand, five hundred sixty".