9960834480 has 320 divisors, whose sum is σ = 34364943360. Its totient is φ = 2373910528.

The previous prime is 9960834467. The next prime is 9960834511. The reversal of 9960834480 is 844380699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a house number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16797064 + ... + 16797656.

It is an arithmetic number, because the mean of its divisors is an integer number (107390448).

Almost surely, 2^9960834480 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 9960834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182471680).

9960834480 is an abundant number, since it is smaller than the sum of its proper divisors (24404108880).

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

9960834480 is a wasteful number, since it uses less digits than its factorization.

9960834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 9960834480 is about 99803.9802813495. The cubic root of 9960834480 is about 2151.6183582242.

The spelling of 9960834480 in words is "nine billion, nine hundred sixty million, eight hundred thirty-four thousand, four hundred eighty".