12643776000 has 560 divisors, whose sum is σ = 47444874048. Its totient is φ = 3359232000.

The previous prime is 12643775953. The next prime is 12643776053. The reversal of 12643776000 is 67734621.

12643776000 is a `hidden beast` number, since 1 + 2 + 6 + 43 + 7 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655865 + ... + 46656135.

Almost surely, 2^12643776000 is an apocalyptic number.

12643776000 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 12643776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23722437024).

12643776000 is an abundant number, since it is smaller than the sum of its proper divisors (34801098048).

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

12643776000 is an frugal number, since it uses more digits than its factorization.

12643776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 12643776000 in words is "twelve billion, six hundred forty-three million, seven hundred seventy-six thousand".