9928831207680 has 1728 divisors, whose sum is σ = 45216190656000. Its totient is φ = 1991738327040.

The previous prime is 9928831207667. The next prime is 9928831207699. The reversal of 9928831207680 is 867021388299.

9928831207680 is a `hidden beast` number, since 99 + 288 + 3 + 1 + 207 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1260479902 + ... + 1260487778.

It is an arithmetic number, because the mean of its divisors is an integer number (26166777000).

Almost surely, 2^{9928831207680} is an apocalyptic number.

9928831207680 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 9928831207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608095328000).

9928831207680 is an abundant number, since it is smaller than the sum of its proper divisors (35287359448320).

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

9928831207680 is a wasteful number, since it uses less digits than its factorization.

9928831207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 9928831207680 in words is "nine trillion, nine hundred twenty-eight billion, eight hundred thirty-one million, two hundred seven thousand, six hundred eighty".