80129634324480 has 1664 divisors, whose sum is σ = 326625605591040. Its totient is φ = 18461396828160.

The previous prime is 80129634324437. The next prime is 80129634324511. The reversal of 80129634324480 is 8442343692108.

It is a happy number.

80129634324480 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 96 + 3 + 432 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 127 ways as a sum of consecutive naturals, for example, 23340992844 + ... + 23340996276.

Almost surely, 2^{80129634324480} is an apocalyptic number.

80129634324480 is a gapful number since it is divisible by the number (80) 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 80129634324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163312802795520).

80129634324480 is an abundant number, since it is smaller than the sum of its proper divisors (246495971266560).

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

80129634324480 is a wasteful number, since it uses less digits than its factorization.

80129634324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 80129634324480 in words is "eighty trillion, one hundred twenty-nine billion, six hundred thirty-four million, three hundred twenty-four thousand, four hundred eighty".