705679349760 has 1152 divisors, whose sum is σ = 3068789068800. Its totient is φ = 145698324480.

The previous prime is 705679349759. The next prime is 705679349801. The reversal of 705679349760 is 67943976507.

705679349760 is a `hidden beast` number, since 7 + 0 + 56 + 7 + 93 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965680461 + ... + 1965680819.

It is an arithmetic number, because the mean of its divisors is an integer number (2663879400).

Almost surely, 2^705679349760 is an apocalyptic number.

705679349760 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 705679349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534394534400).

705679349760 is an abundant number, since it is smaller than the sum of its proper divisors (2363109719040).

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

705679349760 is a wasteful number, since it uses less digits than its factorization.

705679349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 705679349760 in words is "seven hundred five billion, six hundred seventy-nine million, three hundred forty-nine thousand, seven hundred sixty".