129629641680 has 1920 divisors, whose sum is σ = 626977013760. Its totient is φ = 23828152320.

The previous prime is 129629641643. The next prime is 129629641703. The reversal of 129629641680 is 86146926921.

129629641680 is a `hidden beast` number, since 1 + 2 + 9 + 62 + 96 + 416 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1020705777 + ... + 1020705903.

It is an arithmetic number, because the mean of its divisors is an integer number (326550528).

Almost surely, 2^129629641680 is an apocalyptic number.

129629641680 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 129629641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313488506880).

129629641680 is an abundant number, since it is smaller than the sum of its proper divisors (497347372080).

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

129629641680 is a wasteful number, since it uses less digits than its factorization.

129629641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 129629641680 in words is "one hundred twenty-nine billion, six hundred twenty-nine million, six hundred forty-one thousand, six hundred eighty".