9980680160 has 288 divisors, whose sum is σ = 26974213056. Its totient is φ = 3485081600.

The previous prime is 9980680153. The next prime is 9980680187. The reversal of 9980680160 is 610860899.

It is a super-2 number, since 2×9980680160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72851612 + ... + 72851748.

It is an arithmetic number, because the mean of its divisors is an integer number (93660462).

Almost surely, 2^9980680160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9980680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487106528).

9980680160 is an abundant number, since it is smaller than the sum of its proper divisors (16993532896).

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

9980680160 is a wasteful number, since it uses less digits than its factorization.

9980680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 9980680160 is about 99903.3540978480. The cubic root of 9980680160 is about 2153.0463511147.

The spelling of 9980680160 in words is "nine billion, nine hundred eighty million, six hundred eighty thousand, one hundred sixty".