8666407201920 has 256 divisors, whose sum is σ = 29756287008000. Its totient is φ = 2132754776064.

The previous prime is 8666407201867. The next prime is 8666407201927. The reversal of 8666407201920 is 291027046668.

It is a super-2 number, since 2×8666407201920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8666407201927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109110381 + ... + 109189779.

It is an arithmetic number, because the mean of its divisors is an integer number (116235496125).

Almost surely, 2^{8666407201920} is an apocalyptic number.

8666407201920 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 8666407201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878143504000).

8666407201920 is an abundant number, since it is smaller than the sum of its proper divisors (21089879806080).

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

8666407201920 is a wasteful number, since it uses less digits than its factorization.

8666407201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83807 (or 83795 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 8666407201920 in words is "eight trillion, six hundred sixty-six billion, four hundred seven million, two hundred one thousand, nine hundred twenty".