8680038727680 has 1408 divisors, whose sum is σ = 34016132874240. Its totient is φ = 2092789923840.

The previous prime is 8680038727669. The next prime is 8680038727687. The reversal of 8680038727680 is 867278300868.

8680038727680 is a `hidden beast` number, since 86 + 80 + 0 + 387 + 27 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (8680038727687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201861365739 + ... + 201861365781.

It is an arithmetic number, because the mean of its divisors is an integer number (24159185280).

Almost surely, 2^{8680038727680} is an apocalyptic number.

8680038727680 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 8680038727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008066437120).

8680038727680 is an abundant number, since it is smaller than the sum of its proper divisors (25336094146560).

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

8680038727680 is an frugal number, since it uses more digits than its factorization.

8680038727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 8680038727680 in words is "eight trillion, six hundred eighty billion, thirty-eight million, seven hundred twenty-seven thousand, six hundred eighty".