12696735744 has 780 divisors, whose sum is σ = 48810234528. Its totient is φ = 3251404800.

The previous prime is 12696735743. The next prime is 12696735767. The reversal of 12696735744 is 44753769621.

12696735744 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 67 + 3 + 574 + 4 = 666.

It is a super-2 number, since 2×12696735744² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696735743) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178827229 + ... + 178827299.

Almost surely, 2^12696735744 is an apocalyptic number.

12696735744 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 12696735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405117264).

12696735744 is an abundant number, since it is smaller than the sum of its proper divisors (36113498784).

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

12696735744 is an equidigital number, since it uses as much as digits as its factorization.

12696735744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12696735744 in words is "twelve billion, six hundred ninety-six million, seven hundred thirty-five thousand, seven hundred forty-four".