9723916200960 has 1760 divisors, whose sum is σ = 39315797402112. Its totient is φ = 2281769533440.

The previous prime is 9723916200959. The next prime is 9723916200979. The reversal of 9723916200960 is 690026193279.

9723916200960 is a `hidden beast` number, since 9 + 7 + 2 + 3 + 9 + 1 + 620 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9723916200897 and 9723916200906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12200647282 + ... + 12200648078.

Almost surely, 2^{9723916200960} is an apocalyptic number.

9723916200960 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 9723916200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19657898701056).

9723916200960 is an abundant number, since it is smaller than the sum of its proper divisors (29591881201152).

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

9723916200960 is a wasteful number, since it uses less digits than its factorization.

9723916200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 9723916200960 in words is "nine trillion, seven hundred twenty-three billion, nine hundred sixteen million, two hundred thousand, nine hundred sixty".