80344037407680 has 1344 divisors, whose sum is σ = 291800326866048. Its totient is φ = 20272203694080.

The previous prime is 80344037407661. The next prime is 80344037407703. The reversal of 80344037407680 is 8670473044308.

80344037407680 is a `hidden beast` number, since 80 + 3 + 440 + 3 + 7 + 40 + 7 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256690215204 + ... + 256690215516.

It is an arithmetic number, because the mean of its divisors is an integer number (217113338442).

Almost surely, 2^{80344037407680} is an apocalyptic number.

80344037407680 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 80344037407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145900163433024).

80344037407680 is an abundant number, since it is smaller than the sum of its proper divisors (211456289458368).

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

80344037407680 is a wasteful number, since it uses less digits than its factorization.

80344037407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 80344037407680 in words is "eighty trillion, three hundred forty-four billion, thirty-seven million, four hundred seven thousand, six hundred eighty".