327890356320 has 96 divisors (see below), whose sum is σ = 1054830325248. Its totient is φ = 85577051648.

The previous prime is 327890356291. The next prime is 327890356337. The reversal of 327890356320 is 23653098723.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×327890356320⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 327890356320.

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 15 ways as a sum of consecutive naturals, for example, 7244514 + ... + 7289633.

It is an arithmetic number, because the mean of its divisors is an integer number (10987815888).

Almost surely, 2^327890356320 is an apocalyptic number.

327890356320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

327890356320 is an abundant number, since it is smaller than the sum of its proper divisors (726939968928).

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

327890356320 is a wasteful number, since it uses less digits than its factorization.

327890356320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534212 (or 14534204 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 327890356320 in words is "three hundred twenty-seven billion, eight hundred ninety million, three hundred fifty-six thousand, three hundred twenty".