8263410795360 has 2304 divisors, whose sum is σ = 36278361907200. Its totient is φ = 1747630080000.

The previous prime is 8263410795287. The next prime is 8263410795383. The reversal of 8263410795360 is 635970143628.

8263410795360 is a `hidden beast` number, since 8 + 2 + 6 + 34 + 1 + 0 + 79 + 536 + 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 = 8263410795297 and 8263410795306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32921955235 + ... + 32921955485.

It is an arithmetic number, because the mean of its divisors is an integer number (15745816800).

It is a 1-persistent number, because it is pandigital, but 2⋅8263410795360 = 16526821590720 is not.

Almost surely, 2^{8263410795360} is an apocalyptic number.

8263410795360 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 8263410795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139180953600).

8263410795360 is an abundant number, since it is smaller than the sum of its proper divisors (28014951111840).

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

8263410795360 is a wasteful number, since it uses less digits than its factorization.

8263410795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 8263410795360 in words is "eight trillion, two hundred sixty-three billion, four hundred ten million, seven hundred ninety-five thousand, three hundred sixty".