705575840074560 has 7168 divisors, whose sum is σ = 3417631476940800. Its totient is φ = 132935721025536.

The previous prime is 705575840074517. The next prime is 705575840074597. The reversal of 705575840074560 is 65470048575507.

It is a happy number.

705575840074560 is a `hidden beast` number, since 7 + 0 + 5 + 5 + 7 + 584 + 0 + 0 + 7 + 45 + 6 + 0 = 666.

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 1023 ways as a sum of consecutive naturals, for example, 2493200848179 + ... + 2493200848461.

It is an arithmetic number, because the mean of its divisors is an integer number (476790105600).

Almost surely, 2^{705575840074560} is an apocalyptic number.

705575840074560 is a gapful number since it is divisible by the number (70) 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 705575840074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708815738470400).

705575840074560 is an abundant number, since it is smaller than the sum of its proper divisors (2712055636866240).

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

705575840074560 is a wasteful number, since it uses less digits than its factorization.

705575840074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 164640000, while the sum is 63.

The spelling of 705575840074560 in words is "seven hundred five trillion, five hundred seventy-five billion, eight hundred forty million, seventy-four thousand, five hundred sixty".