12646932480 has 1008 divisors, whose sum is σ = 56124226080. Its totient is φ = 2576351232.

The previous prime is 12646932479. The next prime is 12646932481. The reversal of 12646932480 is 8423964621.

12646932480 is a `hidden beast` number, since 1 + 264 + 69 + 324 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12646932479) and next prime (12646932481).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12646932481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436101106 + ... + 436101134.

Almost surely, 2^12646932480 is an apocalyptic number.

12646932480 is a gapful number since it is divisible by the number (10) 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 12646932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062113040).

12646932480 is an abundant number, since it is smaller than the sum of its proper divisors (43477293600).

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

12646932480 is a wasteful number, since it uses less digits than its factorization.

12646932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12646932480 in words is "twelve billion, six hundred forty-six million, nine hundred thirty-two thousand, four hundred eighty".