8938618375680 has 960 divisors, whose sum is σ = 38621113090560. Its totient is φ = 1935562604544.

The previous prime is 8938618375663. The next prime is 8938618375717. The reversal of 8938618375680 is 865738168398.

8938618375680 is a `hidden beast` number, since 8 + 9 + 386 + 183 + 7 + 5 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 8938618375599 and 8938618375608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82682622 + ... + 82790658.

It is an arithmetic number, because the mean of its divisors is an integer number (40230326136).

Almost surely, 2^{8938618375680} is an apocalyptic number.

8938618375680 is a gapful number since it is divisible by the number (80) 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 8938618375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310556545280).

8938618375680 is an abundant number, since it is smaller than the sum of its proper divisors (29682494714880).

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

8938618375680 is a wasteful number, since it uses less digits than its factorization.

8938618375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108101 (or 108073 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 8938618375680 in words is "eight trillion, nine hundred thirty-eight billion, six hundred eighteen million, three hundred seventy-five thousand, six hundred eighty".