9721964160 has 192 divisors, whose sum is σ = 33624045000. Its totient is φ = 2588442624.

The previous prime is 9721964159. The next prime is 9721964167. The reversal of 9721964160 is 614691279.

It can be written as a sum of positive squares in 4 ways, for example, as 9640097856 + 81866304 = 98184^2 + 9048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (9721964167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6041436 + ... + 6043044.

Almost surely, 2^9721964160 is an apocalyptic number.

9721964160 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 9721964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812022500).

9721964160 is an abundant number, since it is smaller than the sum of its proper divisors (23902080840).

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

9721964160 is a wasteful number, since it uses less digits than its factorization.

9721964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9721964160 is about 98600.0210953324. The cubic root of 9721964160 is about 2134.2797241965.

The spelling of 9721964160 in words is "nine billion, seven hundred twenty-one million, nine hundred sixty-four thousand, one hundred sixty".