8002758330560 has 56 divisors (see below), whose sum is σ = 21778935177120. Its totient is φ = 2743802855424.

The previous prime is 8002758330551. The next prime is 8002758330599. The reversal of 8002758330560 is 650338572008.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786327745 + ... + 1786332224.

Almost surely, 2^{8002758330560} is an apocalyptic number.

8002758330560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8002758330560 is an abundant number, since it is smaller than the sum of its proper divisors (13776176846560).

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

8002758330560 is a wasteful number, since it uses less digits than its factorization.

8002758330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572659993 (or 3572659983 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 8002758330560 in words is "eight trillion, two billion, seven hundred fifty-eight million, three hundred thirty thousand, five hundred sixty".