9929607367680 has 6336 divisors, whose sum is σ = 52400572503552. Its totient is φ = 1765791498240.

The previous prime is 9929607367679. The next prime is 9929607367723. The reversal of 9929607367680 is 867637069299.

9929607367680 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 607 + 3 + 6 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9929607367599 and 9929607367608.

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 575 ways as a sum of consecutive naturals, for example, 148203095007 + ... + 148203095073.

Almost surely, 2^{9929607367680} is an apocalyptic number.

9929607367680 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 9929607367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200286251776).

9929607367680 is an abundant number, since it is smaller than the sum of its proper divisors (42470965135872).

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

9929607367680 is a wasteful number, since it uses less digits than its factorization.

9929607367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 9929607367680 in words is "nine trillion, nine hundred twenty-nine billion, six hundred seven million, three hundred sixty-seven thousand, six hundred eighty".