705643650 has 240 divisors, whose sum is σ = 2139780456. Its totient is φ = 171694080.

The previous prime is 705643649. The next prime is 705643651. The reversal of 705643650 is 56346507.

705643650 is a `hidden beast` number, since 7 + 0 + 5 + 643 + 6 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (705643649) and next prime (705643651).

It can be written as a sum of positive squares in 12 ways, for example, as 132089049 + 573554601 = 11493^2 + 23949^2 .

It is not an unprimeable number, because it can be changed into a prime (705643651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2547312 + ... + 2547588.

Almost surely, 2^705643650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705643650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069890228).

705643650 is an abundant number, since it is smaller than the sum of its proper divisors (1434136806).

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

705643650 is a wasteful number, since it uses less digits than its factorization.

705643650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 705643650 is about 26563.9539602071. The cubic root of 705643650 is about 890.2838172380.

The spelling of 705643650 in words is "seven hundred five million, six hundred forty-three thousand, six hundred fifty".