8716978827648 has 384 divisors, whose sum is σ = 31868536627200. Its totient is φ = 2224821841920.

The previous prime is 8716978827643. The next prime is 8716978827671. The reversal of 8716978827648 is 8467288796178.

8716978827648 is a `hidden beast` number, since 87 + 169 + 78 + 8 + 276 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8716978827643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908633 + ... + 4590951.

It is an arithmetic number, because the mean of its divisors is an integer number (82990980800).

Almost surely, 2^{8716978827648} 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 8716978827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934268313600).

8716978827648 is an abundant number, since it is smaller than the sum of its proper divisors (23151557799552).

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

8716978827648 is a wasteful number, since it uses less digits than its factorization.

8716978827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682390 (or 2682375 counting only the distinct ones).

The product of its digits is 3641573376, while the sum is 81.

The spelling of 8716978827648 in words is "eight trillion, seven hundred sixteen billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, six hundred forty-eight".