9662981760 has 192 divisors, whose sum is σ = 33510751560. Its totient is φ = 2565734400.

The previous prime is 9662981729. The next prime is 9662981777. The reversal of 9662981760 is 671892669.

9662981760 is a `hidden beast` number, since 9 + 6 + 629 + 8 + 1 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9350116416 + 312865344 = 96696^2 + 17688^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9662981697 and 9662981706.

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, 1384680 + ... + 1391640.

Almost surely, 2^9662981760 is an apocalyptic number.

9662981760 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 9662981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755375780).

9662981760 is an abundant number, since it is smaller than the sum of its proper divisors (23847769800).

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

9662981760 is a wasteful number, since it uses less digits than its factorization.

9662981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9662981760 is about 98300.4667333782. The cubic root of 9662981760 is about 2129.9547963693.

The spelling of 9662981760 in words is "nine billion, six hundred sixty-two million, nine hundred eighty-one thousand, seven hundred sixty".