8671934148480 has 1024 divisors, whose sum is σ = 33169616640000. Its totient is φ = 2133219999744.

The previous prime is 8671934148457. The next prime is 8671934148491. The reversal of 8671934148480 is 848414391768.

8671934148480 is a `hidden beast` number, since 8 + 6 + 7 + 1 + 9 + 3 + 4 + 148 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8821906069 + ... + 8821907051.

It is an arithmetic number, because the mean of its divisors is an integer number (32392203750).

Almost surely, 2^{8671934148480} is an apocalyptic number.

8671934148480 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 8671934148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584808320000).

8671934148480 is an abundant number, since it is smaller than the sum of its proper divisors (24497682491520).

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

8671934148480 is a wasteful number, since it uses less digits than its factorization.

8671934148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8671934148480 in words is "eight trillion, six hundred seventy-one billion, nine hundred thirty-four million, one hundred forty-eight thousand, four hundred eighty".