9611347680 has 384 divisors, whose sum is σ = 36887477760. Its totient is φ = 2318008320.

The previous prime is 9611347639. The next prime is 9611347703. The reversal of 9611347680 is 867431169.

It is a happy number.

9611347680 is a `hidden beast` number, since 96 + 1 + 13 + 476 + 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 63 ways as a sum of consecutive naturals, for example, 12212247 + ... + 12213033.

It is an arithmetic number, because the mean of its divisors is an integer number (96061140).

Almost surely, 2^9611347680 is an apocalyptic number.

9611347680 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 9611347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443738880).

9611347680 is an abundant number, since it is smaller than the sum of its proper divisors (27276130080).

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

9611347680 is a wasteful number, since it uses less digits than its factorization.

9611347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

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

The square root of 9611347680 is about 98037.4809957906. The cubic root of 9611347680 is about 2126.1542190026.

The spelling of 9611347680 in words is "nine billion, six hundred eleven million, three hundred forty-seven thousand, six hundred eighty".