8673381864576 has 576 divisors, whose sum is σ = 30264926884920. Its totient is φ = 2366926848000.

The previous prime is 8673381864571. The next prime is 8673381864611. The reversal of 8673381864576 is 6754681833768.

8673381864576 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 38 + 18 + 6 + 4 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2976453057600 + 5696928806976 = 1725240^2 + 2386824^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8673381864571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74237566 + ... + 74354306.

Almost surely, 2^{8673381864576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673381864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132463442460).

8673381864576 is an abundant number, since it is smaller than the sum of its proper divisors (21591545020344).

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

8673381864576 is a wasteful number, since it uses less digits than its factorization.

8673381864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116837 (or 116811 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 8673381864576 in words is "eight trillion, six hundred seventy-three billion, three hundred eighty-one million, eight hundred sixty-four thousand, five hundred seventy-six".