9714055680 has 640 divisors, whose sum is σ = 41789468160. Its totient is φ = 2087976960.

The previous prime is 9714055651. The next prime is 9714055711. The reversal of 9714055680 is 865504179.

9714055680 is a `hidden beast` number, since 9 + 7 + 14 + 0 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 8224690 + ... + 8225870.

It is an arithmetic number, because the mean of its divisors is an integer number (65296044).

Almost surely, 2^9714055680 is an apocalyptic number.

9714055680 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 9714055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894734080).

9714055680 is an abundant number, since it is smaller than the sum of its proper divisors (32075412480).

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

9714055680 is a wasteful number, since it uses less digits than its factorization.

9714055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 9714055680 is about 98559.9090908672. The cubic root of 9714055680 is about 2133.7008464065.

The spelling of 9714055680 in words is "nine billion, seven hundred fourteen million, fifty-five thousand, six hundred eighty".