327897988704 has 768 divisors, whose sum is σ = 1153876147200. Its totient is φ = 89280921600.

The previous prime is 327897988699. The next prime is 327897988721. The reversal of 327897988704 is 407889798723.

It is a super-2 number, since 2×327897988704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1047597252 + ... + 1047597564.

It is an arithmetic number, because the mean of its divisors is an integer number (1502442900).

Almost surely, 2^327897988704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327897988704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576938073600).

327897988704 is an abundant number, since it is smaller than the sum of its proper divisors (825978158496).

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

327897988704 is a wasteful number, since it uses less digits than its factorization.

327897988704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 327897988704 in words is "three hundred twenty-seven billion, eight hundred ninety-seven million, nine hundred eighty-eight thousand, seven hundred four".