327616128000 has 528 divisors, whose sum is σ = 1349277331584. Its totient is φ = 74881843200.

The previous prime is 327616127933. The next prime is 327616128001. The reversal of 327616128000 is 821616723.

327616128000 is a `hidden beast` number, since 3 + 27 + 616 + 12 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (327616128001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8043687 + ... + 8084313.

Almost surely, 2^327616128000 is an apocalyptic number.

327616128000 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 327616128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674638665792).

327616128000 is an abundant number, since it is smaller than the sum of its proper divisors (1021661203584).

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

327616128000 is a wasteful number, since it uses less digits than its factorization.

327616128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40675 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 327616128000 in words is "three hundred twenty-seven billion, six hundred sixteen million, one hundred twenty-eight thousand".