8948768716800 has 2304 divisors, whose sum is σ = 38607528960000. Its totient is φ = 2008439193600.

The previous prime is 8948768716799. The next prime is 8948768716807. The reversal of 8948768716800 is 86178678498.

8948768716800 is a `hidden beast` number, since 8 + 9 + 487 + 6 + 87 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948768716807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13579314871 + ... + 13579315529.

It is an arithmetic number, because the mean of its divisors is an integer number (16756740000).

Almost surely, 2^{8948768716800} is an apocalyptic number.

8948768716800 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 8948768716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480000).

8948768716800 is an abundant number, since it is smaller than the sum of its proper divisors (29658760243200).

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

8948768716800 is a wasteful number, since it uses less digits than its factorization.

8948768716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 8948768716800 in words is "eight trillion, nine hundred forty-eight billion, seven hundred sixty-eight million, seven hundred sixteen thousand, eight hundred".