9662817960 has 384 divisors, whose sum is σ = 33880654080. Its totient is φ = 2382741504.

The previous prime is 9662817949. The next prime is 9662818007. The reversal of 9662817960 is 697182669.

9662817960 is a `hidden beast` number, since 9 + 6 + 628 + 1 + 7 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9662817897 and 9662817906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42567367 + ... + 42567593.

It is an arithmetic number, because the mean of its divisors is an integer number (88230870).

Almost surely, 2^9662817960 is an apocalyptic number.

9662817960 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 9662817960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940327040).

9662817960 is an abundant number, since it is smaller than the sum of its proper divisors (24217836120).

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

9662817960 is a wasteful number, since it uses less digits than its factorization.

9662817960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

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

The square root of 9662817960 is about 98299.6335700190. The cubic root of 9662817960 is about 2129.9427611412.

The spelling of 9662817960 in words is "nine billion, six hundred sixty-two million, eight hundred seventeen thousand, nine hundred sixty".