12964827600 has 420 divisors, whose sum is σ = 47153344716. Its totient is φ = 3423928320.

The previous prime is 12964827581. The next prime is 12964827613. The reversal of 12964827600 is 672846921.

It is a happy number.

12964827600 is a `hidden beast` number, since 12 + 9 + 6 + 4 + 8 + 27 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2237668416 + 10727159184 = 47304^2 + 103572^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 50446672 + ... + 50446928.

Almost surely, 2^12964827600 is an apocalyptic number.

12964827600 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 12964827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23576672358).

12964827600 is an abundant number, since it is smaller than the sum of its proper divisors (34188517116).

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

12964827600 is a wasteful number, since it uses less digits than its factorization.

12964827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12964827600 in words is "twelve billion, nine hundred sixty-four million, eight hundred twenty-seven thousand, six hundred".