8680166668800 has 1920 divisors, whose sum is σ = 35997066040320. Its totient is φ = 2030601830400.

The previous prime is 8680166668799. The next prime is 8680166668861. The reversal of 8680166668800 is 88666610868.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13499481279 + ... + 13499481921.

It is an arithmetic number, because the mean of its divisors is an integer number (18748471896).

Almost surely, 2^{8680166668800} is an apocalyptic number.

8680166668800 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 8680166668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998533020160).

8680166668800 is an abundant number, since it is smaller than the sum of its proper divisors (27316899371520).

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

8680166668800 is a wasteful number, since it uses less digits than its factorization.

8680166668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8680166668800 in words is "eight trillion, six hundred eighty billion, one hundred sixty-six million, six hundred sixty-eight thousand, eight hundred".