8326414608480 has 960 divisors, whose sum is σ = 30902788224000. Its totient is φ = 2108526723072.

The previous prime is 8326414608467. The next prime is 8326414608487. The reversal of 8326414608480 is 848064146238.

It is a happy number.

8326414608480 is a `hidden beast` number, since 8 + 3 + 26 + 4 + 1 + 4 + 608 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8326414608487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7659994497 + ... + 7659995583.

It is an arithmetic number, because the mean of its divisors is an integer number (32190404400).

Almost surely, 2^{8326414608480} is an apocalyptic number.

8326414608480 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 8326414608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451394112000).

8326414608480 is an abundant number, since it is smaller than the sum of its proper divisors (22576373615520).

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

8326414608480 is a wasteful number, since it uses less digits than its factorization.

8326414608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 8326414608480 in words is "eight trillion, three hundred twenty-six billion, four hundred fourteen million, six hundred eight thousand, four hundred eighty".