9838380577680 has 80 divisors (see below), whose sum is σ = 33887755330560. Its totient is φ = 2623568153472.

The previous prime is 9838380577661. The next prime is 9838380577687. The reversal of 9838380577680 is 867750838389.

9838380577680 is a `hidden beast` number, since 98 + 38 + 380 + 5 + 77 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 9838380577599 and 9838380577608.

It is not an unprimeable number, because it can be changed into a prime (9838380577687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277400752 + ... + 2277405071.

It is an arithmetic number, because the mean of its divisors is an integer number (423596941632).

Almost surely, 2^{9838380577680} is an apocalyptic number.

9838380577680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9838380577680 is an abundant number, since it is smaller than the sum of its proper divisors (24049374752880).

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

9838380577680 is a wasteful number, since it uses less digits than its factorization.

9838380577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554805845 (or 4554805833 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 9838380577680 in words is "nine trillion, eight hundred thirty-eight billion, three hundred eighty million, five hundred seventy-seven thousand, six hundred eighty".