12669296640 has 896 divisors, whose sum is σ = 54958804992. Its totient is φ = 2406481920.

The previous prime is 12669296639. The next prime is 12669296663. The reversal of 12669296640 is 4669296621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×12669296640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123002829 + ... + 123002931.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^12669296640 is an apocalyptic number.

12669296640 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 12669296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479402496).

12669296640 is an abundant number, since it is smaller than the sum of its proper divisors (42289508352).

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

12669296640 is a wasteful number, since it uses less digits than its factorization.

12669296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 12669296640 in words is "twelve billion, six hundred sixty-nine million, two hundred ninety-six thousand, six hundred forty".