9671341680 has 1440 divisors, whose sum is σ = 46680012288. Its totient is φ = 1828915200.

The previous prime is 9671341679. The next prime is 9671341699. The reversal of 9671341680 is 861431769.

It is a happy number.

9671341680 is a `hidden beast` number, since 96 + 71 + 3 + 416 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136216045 + ... + 136216115.

Almost surely, 2^9671341680 is an apocalyptic number.

9671341680 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 9671341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

9671341680 is an abundant number, since it is smaller than the sum of its proper divisors (37008670608).

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

9671341680 is a wasteful number, since it uses less digits than its factorization.

9671341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9671341680 is about 98342.9798206257. The cubic root of 9671341680 is about 2130.5688621442.

The spelling of 9671341680 in words is "nine billion, six hundred seventy-one million, three hundred forty-one thousand, six hundred eighty".