9791095680 has 192 divisors, whose sum is σ = 34239441600. Its totient is φ = 2577788928.

The previous prime is 9791095649. The next prime is 9791095709. The reversal of 9791095680 is 865901979.

9791095680 is a `hidden beast` number, since 9 + 79 + 1 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9791095680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444282 + ... + 465798.

It is an arithmetic number, because the mean of its divisors is an integer number (178330425).

Almost surely, 2^9791095680 is an apocalyptic number.

9791095680 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 9791095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119720800).

9791095680 is an abundant number, since it is smaller than the sum of its proper divisors (24448345920).

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

9791095680 is a wasteful number, since it uses less digits than its factorization.

9791095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21621 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9791095680 is about 98949.9655381446. The cubic root of 9791095680 is about 2139.3266347384.

The spelling of 9791095680 in words is "nine billion, seven hundred ninety-one million, ninety-five thousand, six hundred eighty".