8268240803760 has 960 divisors, whose sum is σ = 34152064128000. Its totient is φ = 1857763289088.

The previous prime is 8268240803629. The next prime is 8268240803803. The reversal of 8268240803760 is 673080428628.

8268240803760 is a `hidden beast` number, since 8 + 26 + 8 + 240 + 8 + 0 + 376 + 0 = 666.

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 = 8268240803697 and 8268240803706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 393396772 + ... + 393417788.

It is an arithmetic number, because the mean of its divisors is an integer number (35575066800).

Almost surely, 2^{8268240803760} is an apocalyptic number.

8268240803760 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 8268240803760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076032064000).

8268240803760 is an abundant number, since it is smaller than the sum of its proper divisors (25883823324240).

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

8268240803760 is a wasteful number, since it uses less digits than its factorization.

8268240803760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 8268240803760 in words is "eight trillion, two hundred sixty-eight billion, two hundred forty million, eight hundred three thousand, seven hundred sixty".