80342720640 has 1152 divisors, whose sum is σ = 360870793920. Its totient is φ = 16930529280.

The previous prime is 80342720639. The next prime is 80342720659. The reversal of 80342720640 is 4602724308.

80342720640 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 2 + 7 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80342720595 and 80342720604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99065835 + ... + 99066645.

Almost surely, 2^80342720640 is an apocalyptic number.

80342720640 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 80342720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180435396960).

80342720640 is an abundant number, since it is smaller than the sum of its proper divisors (280528073280).

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

80342720640 is a wasteful number, since it uses less digits than its factorization.

80342720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 80342720640 in words is "eighty billion, three hundred forty-two million, seven hundred twenty thousand, six hundred forty".