8667842574400 has 189 divisors, whose sum is σ = 21596761243399. Its totient is φ = 3424035112960.

The previous prime is 8667842574397. The next prime is 8667842574463. The reversal of 8667842574400 is 44752487668.

The square root of 8667842574400 is 2944120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1803777930304 + 6864064644096 = 1343048^2 + 2619936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10481066787 + ... + 10481067613.

Almost surely, 2^{8667842574400} is an apocalyptic number.

8667842574400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8667842574400 is the 2944120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8667842574400

8667842574400 is an abundant number, since it is smaller than the sum of its proper divisors (12928918668999).

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

8667842574400 is an frugal number, since it uses more digits than its factorization.

8667842574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 61.

The spelling of 8667842574400 in words is "eight trillion, six hundred sixty-seven billion, eight hundred forty-two million, five hundred seventy-four thousand, four hundred".