12643690752 has 864 divisors, whose sum is σ = 49793802240. Its totient is φ = 3010867200.

The previous prime is 12643690751. The next prime is 12643690769. The reversal of 12643690752 is 25709634621.

12643690752 is a `hidden beast` number, since 126 + 436 + 90 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12643690698 and 12643690707.

It is not an unprimeable number, because it can be changed into a prime (12643690751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407860977 + ... + 407861007.

Almost surely, 2^12643690752 is an apocalyptic number.

12643690752 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 12643690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896901120).

12643690752 is an abundant number, since it is smaller than the sum of its proper divisors (37150111488).

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

12643690752 is a wasteful number, since it uses less digits than its factorization.

12643690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12643690752 in words is "twelve billion, six hundred forty-three million, six hundred ninety thousand, seven hundred fifty-two".