12693072672 has 288 divisors, whose sum is σ = 42551308800. Its totient is φ = 3514005504.

The previous prime is 12693072671. The next prime is 12693072713. The reversal of 12693072672 is 27627039621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12693072672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12693072671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10327354 + ... + 10328582.

It is an arithmetic number, because the mean of its divisors is an integer number (147747600).

Almost surely, 2^12693072672 is an apocalyptic number.

12693072672 is a gapful number since it is divisible by the number (12) 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 12693072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275654400).

12693072672 is an abundant number, since it is smaller than the sum of its proper divisors (29858236128).

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

12693072672 is a wasteful number, since it uses less digits than its factorization.

12693072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12693072672 in words is "twelve billion, six hundred ninety-three million, seventy-two thousand, six hundred seventy-two".