8673667884 has 144 divisors (see below), whose sum is σ = 27286022400. Its totient is φ = 2266766208.

The previous prime is 8673667853. The next prime is 8673667889. The reversal of 8673667884 is 4887663768.

8673667884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (8673667889) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 107619 + ... + 170085.

Almost surely, 2^8673667884 is an apocalyptic number.

8673667884 is a gapful number since it is divisible by the number (84) 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 8673667884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643011200).

8673667884 is an abundant number, since it is smaller than the sum of its proper divisors (18612354516).

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

8673667884 is a wasteful number, since it uses less digits than its factorization.

8673667884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62532 (or 62527 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 8673667884 is about 93132.5286030611. The cubic root of 8673667884 is about 2054.6330180991.

The spelling of 8673667884 in words is "eight billion, six hundred seventy-three million, six hundred sixty-seven thousand, eight hundred eighty-four".