12328964640 has 168 divisors, whose sum is σ = 43671204108. Its totient is φ = 3287692800.

The previous prime is 12328964629. The next prime is 12328964653. The reversal of 12328964640 is 4646982321.

It can be written as a sum of positive squares in 2 ways, for example, as 11594120976 + 734843664 = 107676^2 + 27108^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63790 + ... + 169490.

Almost surely, 2^12328964640 is an apocalyptic number.

12328964640 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 12328964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835602054).

12328964640 is an abundant number, since it is smaller than the sum of its proper divisors (31342239468).

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

12328964640 is an equidigital number, since it uses as much as digits as its factorization.

12328964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105734 (or 105711 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12328964640 in words is "twelve billion, three hundred twenty-eight million, nine hundred sixty-four thousand, six hundred forty".