12616063424640 has 1536 divisors, whose sum is σ = 51685829395200. Its totient is φ = 2913173766144.

The previous prime is 12616063424611. The next prime is 12616063424663. The reversal of 12616063424640 is 4642436061621.

12616063424640 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 6 + 0 + 634 + 2 + 4 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20381362251 + ... + 20381362869.

Almost surely, 2^{12616063424640} is an apocalyptic number.

12616063424640 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 12616063424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842914697600).

12616063424640 is an abundant number, since it is smaller than the sum of its proper divisors (39069765970560).

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

12616063424640 is a wasteful number, since it uses less digits than its factorization.

12616063424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 12616063424640 in words is "twelve trillion, six hundred sixteen billion, sixty-three million, four hundred twenty-four thousand, six hundred forty".