705690671364 has 144 divisors (see below), whose sum is σ = 2129623493760. Its totient is φ = 201498010560.

The previous prime is 705690671359. The next prime is 705690671429. The reversal of 705690671364 is 463176096507.

It is a happy number.

705690671364 is a `hidden beast` number, since 7 + 0 + 569 + 0 + 6 + 7 + 13 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 705690671364.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8462754 + ... + 8545734.

It is an arithmetic number, because the mean of its divisors is an integer number (14789052040).

Almost surely, 2^705690671364 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 705690671364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064811746880).

705690671364 is an abundant number, since it is smaller than the sum of its proper divisors (1423932822396).

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

705690671364 is a wasteful number, since it uses less digits than its factorization.

705690671364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84615 (or 84600 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 705690671364 in words is "seven hundred five billion, six hundred ninety million, six hundred seventy-one thousand, three hundred sixty-four".