705006689568 has 96 divisors (see below), whose sum is σ = 1884679586496. Its totient is φ = 230704032768.

The previous prime is 705006689507. The next prime is 705006689573. The reversal of 705006689568 is 865986600507.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1697530 + ... + 2071622.

It is an arithmetic number, because the mean of its divisors is an integer number (19632079026).

Almost surely, 2^705006689568 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 705006689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942339793248).

705006689568 is an abundant number, since it is smaller than the sum of its proper divisors (1179672896928).

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

705006689568 is a wasteful number, since it uses less digits than its factorization.

705006689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374466 (or 374458 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 705006689568 in words is "seven hundred five billion, six million, six hundred eighty-nine thousand, five hundred sixty-eight".