705256063844664 has 128 divisors (see below), whose sum is σ = 1880348954803200. Its totient is φ = 219657544765440.

The previous prime is 705256063844641. The next prime is 705256063844671. The reversal of 705256063844664 is 466448360652507.

It is a happy number.

It is a super-2 number, since 2×705256063844664² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 705256063844595 and 705256063844604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799105644 + ... + 1799497604.

It is an arithmetic number, because the mean of its divisors is an integer number (14690226209400).

Almost surely, 2^{705256063844664} 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 705256063844664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940174477401600).

705256063844664 is an abundant number, since it is smaller than the sum of its proper divisors (1175092890958536).

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

705256063844664 is a wasteful number, since it uses less digits than its factorization.

705256063844664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423853 (or 423849 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 66.

The spelling of 705256063844664 in words is "seven hundred five trillion, two hundred fifty-six billion, sixty-three million, eight hundred forty-four thousand, six hundred sixty-four".