8768393649288 has 320 divisors, whose sum is σ = 30494746719360. Its totient is φ = 2292076652544.

The previous prime is 8768393649287. The next prime is 8768393649307. The reversal of 8768393649288 is 8829463938678.

8768393649288 is a `hidden beast` number, since 8 + 7 + 6 + 8 + 393 + 64 + 92 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is not an unprimeable number, because it can be changed into a prime (8768393649283) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6005431 + ... + 7321337.

It is an arithmetic number, because the mean of its divisors is an integer number (95296083498).

Almost surely, 2^{8768393649288} 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 8768393649288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247373359680).

8768393649288 is an abundant number, since it is smaller than the sum of its proper divisors (21726353070072).

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

8768393649288 is a wasteful number, since it uses less digits than its factorization.

8768393649288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316058 (or 1316045 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 8768393649288 in words is "eight trillion, seven hundred sixty-eight billion, three hundred ninety-three million, six hundred forty-nine thousand, two hundred eighty-eight".