12364478958720 has 768 divisors, whose sum is σ = 46397673504000. Its totient is φ = 2792391081984.

The previous prime is 12364478958707. The next prime is 12364478958737. The reversal of 12364478958720 is 2785987446321.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2718063006 + ... + 2718067554.

It is an arithmetic number, because the mean of its divisors is an integer number (60413637375).

It is a 1-persistent number, because it is pandigital, but 2⋅12364478958720 = 24728957917440 is not.

Almost surely, 2^{12364478958720} is an apocalyptic number.

12364478958720 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 12364478958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198836752000).

12364478958720 is an abundant number, since it is smaller than the sum of its proper divisors (34033194545280).

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

12364478958720 is a wasteful number, since it uses less digits than its factorization.

12364478958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 12364478958720 in words is "twelve trillion, three hundred sixty-four billion, four hundred seventy-eight million, nine hundred fifty-eight thousand, seven hundred twenty".