12630380416 has 64 divisors (see below), whose sum is σ = 26524080000. Its totient is φ = 5974304256.

The previous prime is 12630380387. The next prime is 12630380417. The reversal of 12630380416 is 61408303621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630380417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1910685 + ... + 1917283.

It is an arithmetic number, because the mean of its divisors is an integer number (414438750).

Almost surely, 2^12630380416 is an apocalyptic number.

12630380416 is a gapful number since it is divisible by the number (16) 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 12630380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262040000).

12630380416 is an abundant number, since it is smaller than the sum of its proper divisors (13893699584).

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

12630380416 is an equidigital number, since it uses as much as digits as its factorization.

12630380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 12630380416 in words is "twelve billion, six hundred thirty million, three hundred eighty thousand, four hundred sixteen".