705799111680 has 1760 divisors, whose sum is σ = 2908138641408. Its totient is φ = 162437529600.

The previous prime is 705799111627. The next prime is 705799111681. The reversal of 705799111680 is 86111997507.

705799111680 is a `hidden beast` number, since 7 + 0 + 579 + 9 + 1 + 1 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×705799111680² (a number of 24 digits) contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (705799111681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6852418509 + ... + 6852418611.

Almost surely, 2^705799111680 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 705799111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454069320704).

705799111680 is an abundant number, since it is smaller than the sum of its proper divisors (2202339529728).

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

705799111680 is a wasteful number, since it uses less digits than its factorization.

705799111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 705799111680 in words is "seven hundred five billion, seven hundred ninety-nine million, one hundred eleven thousand, six hundred eighty".