9675697680 has 240 divisors, whose sum is σ = 36592657920. Its totient is φ = 2269900800.

The previous prime is 9675697637. The next prime is 9675697699. The reversal of 9675697680 is 867965769.

9675697680 is a `hidden beast` number, since 9 + 6 + 7 + 569 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225816 + ... + 265224.

It is an arithmetic number, because the mean of its divisors is an integer number (152469408).

Almost surely, 2^9675697680 is an apocalyptic number.

9675697680 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 9675697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296328960).

9675697680 is an abundant number, since it is smaller than the sum of its proper divisors (26916960240).

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

9675697680 is a wasteful number, since it uses less digits than its factorization.

9675697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39470 (or 39461 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The square root of 9675697680 is about 98365.1243073479. The cubic root of 9675697680 is about 2130.8886855723. Note that the first 3 decimals are identical.

The spelling of 9675697680 in words is "nine billion, six hundred seventy-five million, six hundred ninety-seven thousand, six hundred eighty".