8326418405760 has 1536 divisors, whose sum is σ = 37449974016000. Its totient is φ = 1756636471296.

The previous prime is 8326418405743. The next prime is 8326418405761. The reversal of 8326418405760 is 675048146238.

It is a happy number.

8326418405760 is a `hidden beast` number, since 8 + 3 + 2 + 64 + 1 + 8 + 4 + 0 + 576 + 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 = 8326418405697 and 8326418405706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8326418405761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693457677 + ... + 693469683.

It is an arithmetic number, because the mean of its divisors is an integer number (24381493500).

Almost surely, 2^{8326418405760} is an apocalyptic number.

8326418405760 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 8326418405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724987008000).

8326418405760 is an abundant number, since it is smaller than the sum of its proper divisors (29123555610240).

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

8326418405760 is a wasteful number, since it uses less digits than its factorization.

8326418405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8326418405760 in words is "eight trillion, three hundred twenty-six billion, four hundred eighteen million, four hundred five thousand, seven hundred sixty".