9209723664960 has 3360 divisors, whose sum is σ = 44298738570240. Its totient is φ = 1762447196160.

The previous prime is 9209723664937. The next prime is 9209723665019. The reversal of 9209723664960 is 694663279029.

9209723664960 is a `hidden beast` number, since 9 + 20 + 97 + 2 + 36 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 38534408521 + ... + 38534408759.

It is an arithmetic number, because the mean of its divisors is an integer number (13184148384).

Almost surely, 2^{9209723664960} is an apocalyptic number.

9209723664960 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 9209723664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149369285120).

9209723664960 is an abundant number, since it is smaller than the sum of its proper divisors (35089014905280).

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

9209723664960 is a wasteful number, since it uses less digits than its factorization.

9209723664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 9209723664960 in words is "nine trillion, two hundred nine billion, seven hundred twenty-three million, six hundred sixty-four thousand, nine hundred sixty".