8946579870800 has 240 divisors, whose sum is σ = 25255928017152. Its totient is φ = 3002566195200.

The previous prime is 8946579870797. The next prime is 8946579870847. The reversal of 8946579870800 is 80789756498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663341657 + ... + 663355143.

Almost surely, 2^{8946579870800} is an apocalyptic number.

8946579870800 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 8946579870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627964008576).

8946579870800 is an abundant number, since it is smaller than the sum of its proper divisors (16309348146352).

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

8946579870800 is a wasteful number, since it uses less digits than its factorization.

8946579870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25126 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 71.

The spelling of 8946579870800 in words is "eight trillion, nine hundred forty-six billion, five hundred seventy-nine million, eight hundred seventy thousand, eight hundred".