12630945600 has 1764 divisors, whose sum is σ = 61810317324. Its totient is φ = 2508226560.

The previous prime is 12630945539. The next prime is 12630945739. The reversal of 12630945600 is 654903621.

It is a happy number.

12630945600 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 0 + 9 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 448084224 + 12182861376 = 21168^2 + 110376^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

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 251 ways as a sum of consecutive naturals, for example, 742996792 + ... + 742996808.

Almost surely, 2^12630945600 is an apocalyptic number.

12630945600 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 12630945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905158662).

12630945600 is an abundant number, since it is smaller than the sum of its proper divisors (49179371724).

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

12630945600 is a wasteful number, since it uses less digits than its factorization.

12630945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12630945600 in words is "twelve billion, six hundred thirty million, nine hundred forty-five thousand, six hundred".