8326166365440 has 2592 divisors, whose sum is σ = 38481216673536. Its totient is φ = 1640442101760.

The previous prime is 8326166365409. The next prime is 8326166365469. The reversal of 8326166365440 is 445636616238.

8326166365440 is a `hidden beast` number, since 8 + 3 + 2 + 6 + 1 + 66 + 36 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24706724952 + ... + 24706725288.

It is an arithmetic number, because the mean of its divisors is an integer number (14846148408).

Almost surely, 2^{8326166365440} is an apocalyptic number.

8326166365440 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 8326166365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240608336768).

8326166365440 is an abundant number, since it is smaller than the sum of its proper divisors (30155050308096).

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

8326166365440 is a wasteful number, since it uses less digits than its factorization.

8326166365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 8326166365440 in words is "eight trillion, three hundred twenty-six billion, one hundred sixty-six million, three hundred sixty-five thousand, four hundred forty".