326416366080 has 800 divisors, whose sum is σ = 1361668454784. Its totient is φ = 73184477184.

The previous prime is 326416366061. The next prime is 326416366093. The reversal of 326416366080 is 80663614623.

326416366080 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 1 + 6 + 36 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76928439 + ... + 76932681.

Almost surely, 2^326416366080 is an apocalyptic number.

326416366080 is a gapful number since it is divisible by the number (30) 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 326416366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680834227392).

326416366080 is an abundant number, since it is smaller than the sum of its proper divisors (1035252088704).

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

326416366080 is an equidigital number, since it uses as much as digits as its factorization.

326416366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 326416366080 in words is "three hundred twenty-six billion, four hundred sixteen million, three hundred sixty-six thousand, eighty".