12608784000 has 896 divisors, whose sum is σ = 50088430080. Its totient is φ = 3147724800.

The previous prime is 12608783951. The next prime is 12608784011. The reversal of 12608784000 is 48780621.

12608784000 is a `hidden beast` number, since 1 + 2 + 608 + 7 + 8 + 40 + 0 + 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 268271977 + ... + 268272023.

Almost surely, 2^12608784000 is an apocalyptic number.

12608784000 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 12608784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25044215040).

12608784000 is an abundant number, since it is smaller than the sum of its proper divisors (37479646080).

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

12608784000 is an frugal number, since it uses more digits than its factorization.

12608784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12608784000 in words is "twelve billion, six hundred eight million, seven hundred eighty-four thousand".