12339643680 has 480 divisors, whose sum is σ = 53603472384. Its totient is φ = 2603280384.

The previous prime is 12339643649. The next prime is 12339643697. The reversal of 12339643680 is 8634693321.

12339643680 is a `hidden beast` number, since 123 + 3 + 96 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×12339643680² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1174129 + ... + 1184591.

Almost surely, 2^12339643680 is an apocalyptic number.

12339643680 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 12339643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801736192).

12339643680 is an abundant number, since it is smaller than the sum of its proper divisors (41263828704).

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

12339643680 is a wasteful number, since it uses less digits than its factorization.

12339643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 12339643680 in words is "twelve billion, three hundred thirty-nine million, six hundred forty-three thousand, six hundred eighty".