9719940960 has 144 divisors (see below), whose sum is σ = 34915149360. Its totient is φ = 2455557120.

The previous prime is 9719940943. The next prime is 9719941019. The reversal of 9719940960 is 690499179.

9719940960 is a `hidden beast` number, since 97 + 1 + 99 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9719940897 and 9719940906.

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, 150271 + ... + 204990.

It is an arithmetic number, because the mean of its divisors is an integer number (242466315).

Almost surely, 2^9719940960 is an apocalyptic number.

9719940960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9719940960 is an abundant number, since it is smaller than the sum of its proper divisors (25195208400).

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

9719940960 is a wasteful number, since it uses less digits than its factorization.

9719940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355301 (or 355290 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 9719940960 is about 98589.7609288105. The cubic root of 9719940960 is about 2134.1316617186.

The spelling of 9719940960 in words is "nine billion, seven hundred nineteen million, nine hundred forty thousand, nine hundred sixty".