326752427520 has 320 divisors, whose sum is σ = 1169822269440. Its totient is φ = 86445563904.

The previous prime is 326752427513. The next prime is 326752427549. The reversal of 326752427520 is 25724257623.

326752427520 is a `hidden beast` number, since 32 + 6 + 7 + 52 + 42 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8759629 + ... + 8796851.

It is an arithmetic number, because the mean of its divisors is an integer number (3655694592).

Almost surely, 2^326752427520 is an apocalyptic number.

326752427520 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 326752427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584911134720).

326752427520 is an abundant number, since it is smaller than the sum of its proper divisors (843069841920).

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

326752427520 is a wasteful number, since it uses less digits than its factorization.

326752427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37382 (or 37360 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 326752427520 in words is "three hundred twenty-six billion, seven hundred fifty-two million, four hundred twenty-seven thousand, five hundred twenty".