327432220500 has 768 divisors, whose sum is σ = 1248121405440. Its totient is φ = 64800384000.

The previous prime is 327432220487. The next prime is 327432220513. The reversal of 327432220500 is 5022234723.

It is an interprime number because it is at equal distance from previous prime (327432220487) and next prime (327432220513).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1405288384 + ... + 1405288616.

It is an arithmetic number, because the mean of its divisors is an integer number (1625158080).

Almost surely, 2^327432220500 is an apocalyptic number.

327432220500 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 327432220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624060702720).

327432220500 is an abundant number, since it is smaller than the sum of its proper divisors (920689184940).

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

327432220500 is a wasteful number, since it uses less digits than its factorization.

327432220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The spelling of 327432220500 in words is "three hundred twenty-seven billion, four hundred thirty-two million, two hundred twenty thousand, five hundred".