326179874516160 has 1792 divisors, whose sum is σ = 1285744833331200. Its totient is φ = 68401428480000.

The previous prime is 326179874516147. The next prime is 326179874516161. The reversal of 326179874516160 is 61615478971623.

It is a super-2 number, since 2×326179874516160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 326179874516091 and 326179874516100.

It is not an unprimeable number, because it can be changed into a prime (326179874516161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 434327395785 + ... + 434327396535.

It is a 1-persistent number, because it is pandigital, but 2⋅326179874516160 = 652359749032320 is not.

Almost surely, 2^{326179874516160} is an apocalyptic number.

326179874516160 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 326179874516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642872416665600).

326179874516160 is an abundant number, since it is smaller than the sum of its proper divisors (959564958815040).

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

326179874516160 is a wasteful number, since it uses less digits than its factorization.

326179874516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 326179874516160 in words is "three hundred twenty-six trillion, one hundred seventy-nine billion, eight hundred seventy-four million, five hundred sixteen thousand, one hundred sixty".