8674871132928 has 1152 divisors, whose sum is σ = 31586086232064. Its totient is φ = 2040820531200.

The previous prime is 8674871132881. The next prime is 8674871132959. The reversal of 8674871132928 is 8292311784768.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 18575740951 + ... + 18575741417.

It is an arithmetic number, because the mean of its divisors is an integer number (27418477632).

Almost surely, 2^{8674871132928} is an apocalyptic number.

8674871132928 is a gapful number since it is divisible by the number (88) 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 8674871132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793043116032).

8674871132928 is an abundant number, since it is smaller than the sum of its proper divisors (22911215099136).

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

8674871132928 is a wasteful number, since it uses less digits than its factorization.

8674871132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 8674871132928 in words is "eight trillion, six hundred seventy-four billion, eight hundred seventy-one million, one hundred thirty-two thousand, nine hundred twenty-eight".