327923406720 has 3072 divisors, whose sum is σ = 1616761036800. Its totient is φ = 61535158272.

The previous prime is 327923406697. The next prime is 327923406743. The reversal of 327923406720 is 27604329723.

It is an interprime number because it is at equal distance from previous prime (327923406697) and next prime (327923406743).

It is a super-3 number, since 3×327923406720³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6977093737 + ... + 6977093783.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 2^327923406720 is an apocalyptic number.

327923406720 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 327923406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808380518400).

327923406720 is an abundant number, since it is smaller than the sum of its proper divisors (1288837630080).

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

327923406720 is a wasteful number, since it uses less digits than its factorization.

327923406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 327923406720 in words is "three hundred twenty-seven billion, nine hundred twenty-three million, four hundred six thousand, seven hundred twenty".