17280000768 has 144 divisors (see below), whose sum is σ = 46744236000. Its totient is φ = 5666242560.

The previous prime is 17280000713. The next prime is 17280000799. The reversal of 17280000768 is 86700008271.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16472308 + ... + 16473356.

It is an arithmetic number, because the mean of its divisors is an integer number (324612750).

Almost surely, 2^17280000768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17280000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372118000).

17280000768 is an abundant number, since it is smaller than the sum of its proper divisors (29464235232).

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

17280000768 is a wasteful number, since it uses less digits than its factorization.

17280000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

It can be divided in two parts, 17280000 and 768, that multiplied together give a square (13271040000 = 115200²).

The spelling of 17280000768 in words is "seventeen billion, two hundred eighty million, seven hundred sixty-eight", and thus it is an aban number.