705988276224 has 832 divisors, whose sum is σ = 2495641743360. Its totient is φ = 171957288960.

The previous prime is 705988276223. The next prime is 705988276249. The reversal of 705988276224 is 422672889507.

It is not an unprimeable number, because it can be changed into a prime (705988276223) 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 63 ways as a sum of consecutive naturals, for example, 3110080399 + ... + 3110080625.

Almost surely, 2^705988276224 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 705988276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247820871680).

705988276224 is an abundant number, since it is smaller than the sum of its proper divisors (1789653467136).

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

705988276224 is a wasteful number, since it uses less digits than its factorization.

705988276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 705988276224 in words is "seven hundred five billion, nine hundred eighty-eight million, two hundred seventy-six thousand, two hundred twenty-four".