12669733440 has 672 divisors, whose sum is σ = 55517978880. Its totient is φ = 2579447808.

The previous prime is 12669733403. The next prime is 12669733441. The reversal of 12669733440 is 4433796621.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (12669733441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7599487 + ... + 7601153.

It is an arithmetic number, because the mean of its divisors is an integer number (82616040).

Almost surely, 2^12669733440 is an apocalyptic number.

12669733440 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 12669733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27758989440).

12669733440 is an abundant number, since it is smaller than the sum of its proper divisors (42848245440).

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

12669733440 is a wasteful number, since it uses less digits than its factorization.

12669733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12669733440 in words is "twelve billion, six hundred sixty-nine million, seven hundred thirty-three thousand, four hundred forty".