327422975400 has 288 divisors, whose sum is σ = 1126561481760. Its totient is φ = 85176645120.

The previous prime is 327422975393. The next prime is 327422975419. The reversal of 327422975400 is 4579224723.

327422975400 is a `hidden beast` number, since 32 + 74 + 2 + 2 + 9 + 7 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77165679 + ... + 77169921.

Almost surely, 2^327422975400 is an apocalyptic number.

327422975400 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 327422975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563280740880).

327422975400 is an abundant number, since it is smaller than the sum of its proper divisors (799138506360).

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

327422975400 is a wasteful number, since it uses less digits than its factorization.

327422975400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 327422975400 in words is "three hundred twenty-seven billion, four hundred twenty-two million, nine hundred seventy-five thousand, four hundred".