327854348640 has 864 divisors, whose sum is σ = 1466127988416. Its totient is φ = 65098874880.

The previous prime is 327854348639. The next prime is 327854348699. The reversal of 327854348640 is 46843458723.

327854348640 is a `hidden beast` number, since 3 + 2 + 7 + 85 + 43 + 486 + 40 = 666.

327854348640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28954180 + ... + 28965500.

It is an arithmetic number, because the mean of its divisors is an integer number (1696907394).

Almost surely, 2^327854348640 is an apocalyptic number.

327854348640 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 327854348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733063994208).

327854348640 is an abundant number, since it is smaller than the sum of its proper divisors (1138273639776).

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

327854348640 is a wasteful number, since it uses less digits than its factorization.

327854348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 327854348640 in words is "three hundred twenty-seven billion, eight hundred fifty-four million, three hundred forty-eight thousand, six hundred forty".