8248673760 has 96 divisors (see below), whose sum is σ = 26409372192. Its totient is φ = 2163578880.

The previous prime is 8248673753. The next prime is 8248673761. The reversal of 8248673760 is 673768428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8248673761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111579 + ... + 170138.

It is an arithmetic number, because the mean of its divisors is an integer number (275097627).

Almost surely, 2^8248673760 is an apocalyptic number.

8248673760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8248673760 is an abundant number, since it is smaller than the sum of its proper divisors (18160698432).

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

8248673760 is a wasteful number, since it uses less digits than its factorization.

8248673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281796 (or 281788 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 8248673760 is about 90822.2096185729. The cubic root of 8248673760 is about 2020.5117286669.

The spelling of 8248673760 in words is "eight billion, two hundred forty-eight million, six hundred seventy-three thousand, seven hundred sixty".