12663751680 has 352 divisors, whose sum is σ = 45500388480. Its totient is φ = 3339878400.

The previous prime is 12663751663. The next prime is 12663751691. The reversal of 12663751680 is 8615736621.

12663751680 is a `hidden beast` number, since 1 + 2 + 6 + 637 + 5 + 1 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×12663751680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13961787 + ... + 13962693.

Almost surely, 2^12663751680 is an apocalyptic number.

12663751680 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 12663751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750194240).

12663751680 is an abundant number, since it is smaller than the sum of its proper divisors (32836636800).

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

12663751680 is a wasteful number, since it uses less digits than its factorization.

12663751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12663751680 in words is "twelve billion, six hundred sixty-three million, seven hundred fifty-one thousand, six hundred eighty".