9936671038560 has 768 divisors, whose sum is σ = 42012804556800. Its totient is φ = 2142742118400.

The previous prime is 9936671038543. The next prime is 9936671038589. The reversal of 9936671038560 is 658301766399.

9936671038560 is a `hidden beast` number, since 9 + 9 + 3 + 6 + 67 + 1 + 0 + 3 + 8 + 560 = 666.

9936671038560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138433080 + ... + 138504840.

It is an arithmetic number, because the mean of its divisors is an integer number (54704172600).

Almost surely, 2^{9936671038560} is an apocalyptic number.

9936671038560 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 9936671038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006402278400).

9936671038560 is an abundant number, since it is smaller than the sum of its proper divisors (32076133518240).

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

9936671038560 is a wasteful number, since it uses less digits than its factorization.

9936671038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72052 (or 72038 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 9936671038560 in words is "nine trillion, nine hundred thirty-six billion, six hundred seventy-one million, thirty-eight thousand, five hundred sixty".