8248649907960 has 2304 divisors, whose sum is σ = 37821873024000. Its totient is φ = 1534337925120.

The previous prime is 8248649907913. The next prime is 8248649908039. The reversal of 8248649907960 is 697099468428.

8248649907960 is a `hidden beast` number, since 8 + 2 + 4 + 8 + 6 + 499 + 0 + 79 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7546797174 + ... + 7546798266.

It is an arithmetic number, because the mean of its divisors is an integer number (16415743500).

Almost surely, 2^{8248649907960} 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 8248649907960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910936512000).

8248649907960 is an abundant number, since it is smaller than the sum of its proper divisors (29573223116040).

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

8248649907960 is a wasteful number, since it uses less digits than its factorization.

8248649907960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 8248649907960 in words is "eight trillion, two hundred forty-eight billion, six hundred forty-nine million, nine hundred seven thousand, nine hundred sixty".