326126560320 has 336 divisors, whose sum is σ = 1256793715008. Its totient is φ = 76923924480.

The previous prime is 326126560303. The next prime is 326126560337. The reversal of 326126560320 is 23065621623.

326126560320 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 26 + 5 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (326126560303) and next prime (326126560337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033047 + ... + 1311273.

Almost surely, 2^326126560320 is an apocalyptic number.

326126560320 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 326126560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628396857504).

326126560320 is an abundant number, since it is smaller than the sum of its proper divisors (930667154688).

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

326126560320 is a wasteful number, since it uses less digits than its factorization.

326126560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278298 (or 278285 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 326126 and 560320, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 326126560320 in words is "three hundred twenty-six billion, one hundred twenty-six million, five hundred sixty thousand, three hundred twenty".