8664438481920 has 1056 divisors, whose sum is σ = 33958326904320. Its totient is φ = 2105477038080.

The previous prime is 8664438481913. The next prime is 8664438481939. The reversal of 8664438481920 is 291848344668.

8664438481920 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 438 + 4 + 8 + 192 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277748930 + ... + 1277755710.

Almost surely, 2^{8664438481920} is an apocalyptic number.

8664438481920 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 8664438481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979163452160).

8664438481920 is an abundant number, since it is smaller than the sum of its proper divisors (25293888422400).

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

8664438481920 is a wasteful number, since it uses less digits than its factorization.

8664438481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8664438481920 in words is "eight trillion, six hundred sixty-four billion, four hundred thirty-eight million, four hundred eighty-one thousand, nine hundred twenty".