8020343770560 has 1344 divisors, whose sum is σ = 34483135325184. Its totient is φ = 1750317465600.

The previous prime is 8020343770529. The next prime is 8020343770597. The reversal of 8020343770560 is 650773430208.

8020343770560 is a `hidden beast` number, since 8 + 0 + 20 + 34 + 37 + 7 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334433770 + ... + 334457750.

It is an arithmetic number, because the mean of its divisors is an integer number (25657094736).

Almost surely, 2^{8020343770560} is an apocalyptic number.

8020343770560 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 8020343770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241567662592).

8020343770560 is an abundant number, since it is smaller than the sum of its proper divisors (26462791554624).

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

8020343770560 is a wasteful number, since it uses less digits than its factorization.

8020343770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24064 (or 24042 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 8020343770560 in words is "eight trillion, twenty billion, three hundred forty-three million, seven hundred seventy thousand, five hundred sixty".