705924460800 has 1620 divisors, whose sum is σ = 2931149256420. Its totient is φ = 166617907200.

The previous prime is 705924460799. The next prime is 705924460807. The reversal of 705924460800 is 8064429507.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38579245056 + 667345215744 = 196416^2 + 816912^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (705924460807) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 6476371146 + ... + 6476371254.

Almost surely, 2^705924460800 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 705924460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465574628210).

705924460800 is an abundant number, since it is smaller than the sum of its proper divisors (2225224795620).

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

705924460800 is a wasteful number, since it uses less digits than its factorization.

705924460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 705924460800 in words is "seven hundred five billion, nine hundred twenty-four million, four hundred sixty thousand, eight hundred".