326160408430080 has 3840 divisors, whose sum is σ = 1484366681952000. Its totient is φ = 67371188355072.

The previous prime is 326160408430069. The next prime is 326160408430141. The reversal of 326160408430080 is 80034804061623.

326160408430080 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 604 + 0 + 8 + 4 + 30 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×326160408430080² (a number of 30 digits) contains 22 as substring.

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

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, 382368590934 + ... + 382368591786.

It is an arithmetic number, because the mean of its divisors is an integer number (386553823425).

Almost surely, 2^{326160408430080} is an apocalyptic number.

326160408430080 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 326160408430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742183340976000).

326160408430080 is an abundant number, since it is smaller than the sum of its proper divisors (1158206273521920).

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

326160408430080 is a wasteful number, since it uses less digits than its factorization.

326160408430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 326160408430080 in words is "three hundred twenty-six trillion, one hundred sixty billion, four hundred eight million, four hundred thirty thousand, eighty".