705488667360 has 768 divisors, whose sum is σ = 2461249566720. Its totient is φ = 169338470400.

The previous prime is 705488667293. The next prime is 705488667361. The reversal of 705488667360 is 63766884507.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 705488667294 and 705488667303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705488667361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1759323160 + ... + 1759323560.

It is an arithmetic number, because the mean of its divisors is an integer number (3204752040).

Almost surely, 2^705488667360 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 705488667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230624783360).

705488667360 is an abundant number, since it is smaller than the sum of its proper divisors (1755760899360).

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

705488667360 is a wasteful number, since it uses less digits than its factorization.

705488667360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 705488667360 in words is "seven hundred five billion, four hundred eighty-eight million, six hundred sixty-seven thousand, three hundred sixty".