12703692672 has 640 divisors, whose sum is σ = 44786649600. Its totient is φ = 3533967360.

The previous prime is 12703692671. The next prime is 12703692691. The reversal of 12703692672 is 27629630721.

12703692672 is a `hidden beast` number, since 1 + 27 + 0 + 369 + 267 + 2 = 666.

It is a super-2 number, since 2×12703692672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703692671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76069933 + ... + 76070099.

It is an arithmetic number, because the mean of its divisors is an integer number (69979140).

Almost surely, 2^12703692672 is an apocalyptic number.

12703692672 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 12703692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393324800).

12703692672 is an abundant number, since it is smaller than the sum of its proper divisors (32082956928).

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

12703692672 is a wasteful number, since it uses less digits than its factorization.

12703692672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

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

The spelling of 12703692672 in words is "twelve billion, seven hundred three million, six hundred ninety-two thousand, six hundred seventy-two".