327918474000 has 1080 divisors, whose sum is σ = 1320963178392. Its totient is φ = 75766579200.

The previous prime is 327918473963. The next prime is 327918474019. The reversal of 327918474000 is 474819723.

It can be written as a sum of positive squares in 36 ways, for example, as 301783225104 + 26135248896 = 549348^2 + 161664^2 .

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 215 ways as a sum of consecutive naturals, for example, 879137814 + ... + 879138186.

Almost surely, 2^327918474000 is an apocalyptic number.

327918474000 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 327918474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660481589196).

327918474000 is an abundant number, since it is smaller than the sum of its proper divisors (993044704392).

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

327918474000 is a wasteful number, since it uses less digits than its factorization.

327918474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 327918474000 in words is "three hundred twenty-seven billion, nine hundred eighteen million, four hundred seventy-four thousand".