12697864704 has 180 divisors, whose sum is σ = 42630822234. Its totient is φ = 3627896832.

The previous prime is 12697864703. The next prime is 12697864727. The reversal of 12697864704 is 40746879621.

12697864704 is a `hidden beast` number, since 1 + 2 + 6 + 97 + 86 + 470 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10640335104 + 2057529600 = 103152^2 + 45360^2 .

It is a super-2 number, since 2×12697864704² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12697864703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197674 + ... + 253910.

Almost surely, 2^12697864704 is an apocalyptic number.

12697864704 is a gapful number since it is divisible by the number (14) 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 12697864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21315411117).

12697864704 is an abundant number, since it is smaller than the sum of its proper divisors (29932957530).

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

12697864704 is an equidigital number, since it uses as much as digits as its factorization.

12697864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56275 (or 56249 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12697864704 in words is "twelve billion, six hundred ninety-seven million, eight hundred sixty-four thousand, seven hundred four".