8005373026560 has 3456 divisors, whose sum is σ = 38014384472064. Its totient is φ = 1565133373440.

The previous prime is 8005373026549. The next prime is 8005373026589. The reversal of 8005373026560 is 656203735008.

8005373026560 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 37 + 30 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61109717695 + ... + 61109717825.

It is an arithmetic number, because the mean of its divisors is an integer number (10999532544).

Almost surely, 2^{8005373026560} is an apocalyptic number.

8005373026560 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 8005373026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007192236032).

8005373026560 is an abundant number, since it is smaller than the sum of its proper divisors (30009011445504).

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

8005373026560 is a wasteful number, since it uses less digits than its factorization.

8005373026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 8005373026560 in words is "eight trillion, five billion, three hundred seventy-three million, twenty-six thousand, five hundred sixty".