12327544320 has 640 divisors, whose sum is σ = 50156789760. Its totient is φ = 2512650240.

The previous prime is 12327544283. The next prime is 12327544343. The reversal of 12327544320 is 2344572321.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×12327544320⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21664996 + ... + 21665564.

It is an arithmetic number, because the mean of its divisors is an integer number (78369984).

Almost surely, 2^12327544320 is an apocalyptic number.

12327544320 is a gapful number since it is divisible by the number (10) 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 12327544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078394880).

12327544320 is an abundant number, since it is smaller than the sum of its proper divisors (37829245440).

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

12327544320 is a wasteful number, since it uses less digits than its factorization.

12327544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 12327544320 in words is "twelve billion, three hundred twenty-seven million, five hundred forty-four thousand, three hundred twenty".