12436068480 has 512 divisors, whose sum is σ = 48223641600. Its totient is φ = 2686648320.

The previous prime is 12436068479. The next prime is 12436068493. The reversal of 12436068480 is 8486063421.

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, 6820849 + ... + 6822671.

It is an arithmetic number, because the mean of its divisors is an integer number (94186800).

Almost surely, 2^12436068480 is an apocalyptic number.

12436068480 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 12436068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111820800).

12436068480 is an abundant number, since it is smaller than the sum of its proper divisors (35787573120).

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

12436068480 is a wasteful number, since it uses less digits than its factorization.

12436068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 12436068480 in words is "twelve billion, four hundred thirty-six million, sixty-eight thousand, four hundred eighty".