8949676108800 has 792 divisors, whose sum is σ = 34515386250384. Its totient is φ = 2039281090560.

The previous prime is 8949676108757. The next prime is 8949676108819. The reversal of 8949676108800 is 88016769498.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1268194872 + ... + 1268201928.

Almost surely, 2^{8949676108800} is an apocalyptic number.

8949676108800 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 8949676108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257693125192).

8949676108800 is an abundant number, since it is smaller than the sum of its proper divisors (25565710141584).

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

8949676108800 is a wasteful number, since it uses less digits than its factorization.

8949676108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 8949676108800 in words is "eight trillion, nine hundred forty-nine billion, six hundred seventy-six million, one hundred eight thousand, eight hundred".