9980923680 has 1296 divisors, whose sum is σ = 45927108864. Its totient is φ = 2037934080.

The previous prime is 9980923679. The next prime is 9980923697. The reversal of 9980923680 is 863290899.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 321965265 + ... + 321965295.

It is an arithmetic number, because the mean of its divisors is an integer number (35437584).

Almost surely, 2^9980923680 is an apocalyptic number.

9980923680 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 9980923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22963554432).

9980923680 is an abundant number, since it is smaller than the sum of its proper divisors (35946185184).

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

9980923680 is a wasteful number, since it uses less digits than its factorization.

9980923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9980923680 is about 99904.5728683127. The cubic root of 9980923680 is about 2153.0638617979.

The spelling of 9980923680 in words is "nine billion, nine hundred eighty million, nine hundred twenty-three thousand, six hundred eighty".