9980048736 has 288 divisors, whose sum is σ = 34175232000. Its totient is φ = 2758613760.

The previous prime is 9980048723. The next prime is 9980048773. The reversal of 9980048736 is 6378400899.

9980048736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×9980048736³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060675 + ... + 3063933.

It is an arithmetic number, because the mean of its divisors is an integer number (118664000).

Almost surely, 2^9980048736 is an apocalyptic number.

9980048736 is a gapful number since it is divisible by the number (96) 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 9980048736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087616000).

9980048736 is an abundant number, since it is smaller than the sum of its proper divisors (24195183264).

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

9980048736 is a wasteful number, since it uses less digits than its factorization.

9980048736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9980048736 is about 99900.1938736858. The cubic root of 9980048736 is about 2153.0009462663. Note that the first 3 decimals are identical.

The spelling of 9980048736 in words is "nine billion, nine hundred eighty million, forty-eight thousand, seven hundred thirty-six".