12645063360 has 224 divisors, whose sum is σ = 44815841280. Its totient is φ = 3356384256.

The previous prime is 12645063341. The next prime is 12645063397. The reversal of 12645063360 is 6336054621.

12645063360 is a `hidden beast` number, since 1 + 2 + 64 + 506 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923439 + ... + 1930001.

It is an arithmetic number, because the mean of its divisors is an integer number (200070720).

Almost surely, 2^12645063360 is an apocalyptic number.

12645063360 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 12645063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407920640).

12645063360 is an abundant number, since it is smaller than the sum of its proper divisors (32170777920).

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

12645063360 is a wasteful number, since it uses less digits than its factorization.

12645063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 12645063360 in words is "twelve billion, six hundred forty-five million, sixty-three thousand, three hundred sixty".