705664709568 has 1344 divisors, whose sum is σ = 2788577648640. Its totient is φ = 170201088000.

The previous prime is 705664709543. The next prime is 705664709647. The reversal of 705664709568 is 865907466507.

705664709568 is a `hidden beast` number, since 7 + 0 + 5 + 6 + 64 + 7 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1759762168 + ... + 1759762568.

It is an arithmetic number, because the mean of its divisors is an integer number (2074834560).

Almost surely, 2^705664709568 is an apocalyptic number.

705664709568 is a gapful number since it is divisible by the number (78) 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 705664709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394288824320).

705664709568 is an abundant number, since it is smaller than the sum of its proper divisors (2082912939072).

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

705664709568 is a wasteful number, since it uses less digits than its factorization.

705664709568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 705664709568 in words is "seven hundred five billion, six hundred sixty-four million, seven hundred nine thousand, five hundred sixty-eight".