705599949824 has 792 divisors, whose sum is σ = 1954561803264. Its totient is φ = 252912844800.

The previous prime is 705599949811. The next prime is 705599949827. The reversal of 705599949824 is 428949995507.

It is not an unprimeable number, because it can be changed into a prime (705599949827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4328833967 + ... + 4328834129.

Almost surely, 2^705599949824 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 705599949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977280901632).

705599949824 is an abundant number, since it is smaller than the sum of its proper divisors (1248961853440).

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

705599949824 is a wasteful number, since it uses less digits than its factorization.

705599949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 71.

The spelling of 705599949824 in words is "seven hundred five billion, five hundred ninety-nine million, nine hundred forty-nine thousand, eight hundred twenty-four".