9714559680 has 1008 divisors, whose sum is σ = 42117776064. Its totient is φ = 2043740160.

The previous prime is 9714559669. The next prime is 9714559681. The reversal of 9714559680 is 869554179.

9714559680 is a `hidden beast` number, since 9 + 7 + 1 + 4 + 559 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9714559681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133076124 + ... + 133076196.

It is an arithmetic number, because the mean of its divisors is an integer number (41783508).

Almost surely, 2^9714559680 is an apocalyptic number.

9714559680 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 9714559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058888032).

9714559680 is an abundant number, since it is smaller than the sum of its proper divisors (32403216384).

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

9714559680 is a wasteful number, since it uses less digits than its factorization.

9714559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 9714559680 is about 98562.4658782439. The cubic root of 9714559680 is about 2133.7377471156.

The spelling of 9714559680 in words is "nine billion, seven hundred fourteen million, five hundred fifty-nine thousand, six hundred eighty".