129682716344640 has 280 divisors, whose sum is σ = 461325544748640. Its totient is φ = 34580460321792.

The previous prime is 129682716344609. The next prime is 129682716344677. The reversal of 129682716344640 is 46443617286921.

129682716344640 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 8 + 2 + 7 + 163 + 4 + 464 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 626616219 + ... + 626823141.

Almost surely, 2^{129682716344640} is an apocalyptic number.

129682716344640 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 129682716344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230662772374320).

129682716344640 is an abundant number, since it is smaller than the sum of its proper divisors (331642828404000).

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

129682716344640 is a wasteful number, since it uses less digits than its factorization.

129682716344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231131 (or 231112 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 129682716344640 in words is "one hundred twenty-nine trillion, six hundred eighty-two billion, seven hundred sixteen million, three hundred forty-four thousand, six hundred forty".