8427600067248 has 80 divisors (see below), whose sum is σ = 24192453295200. Its totient is φ = 2808953856000.

The previous prime is 8427600067247. The next prime is 8427600067253.

It is a happy number.

8427600067248 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 600 + 0 + 6 + 7 + 24 + 8 = 666.

8427600067248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8427600067194 and 8427600067203.

It is not an unprimeable number, because it can be changed into a prime (8427600067247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4114248 + ... + 5812248.

It is an arithmetic number, because the mean of its divisors is an integer number (302405666190).

Almost surely, 2^{8427600067248} is an apocalyptic number.

It is an amenable number.

8427600067248 is an abundant number, since it is smaller than the sum of its proper divisors (15764853227952).

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

8427600067248 is a wasteful number, since it uses less digits than its factorization.

8427600067248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709507 (or 1709495 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 8427600067248 in words is "eight trillion, four hundred twenty-seven billion, six hundred million, sixty-seven thousand, two hundred forty-eight".