705532329984 has 136 divisors (see below), whose sum is σ = 1887695027680. Its totient is φ = 234391339008.

The previous prime is 705532329977. The next prime is 705532329991. The reversal of 705532329984 is 489923235507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (705532329977) and next prime (705532329991).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60352812 + ... + 60364500.

Almost surely, 2^705532329984 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 705532329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943847513840).

705532329984 is an abundant number, since it is smaller than the sum of its proper divisors (1182162697696).

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

705532329984 is an equidigital number, since it uses as much as digits as its factorization.

705532329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12031 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 705532329984 in words is "seven hundred five billion, five hundred thirty-two million, three hundred twenty-nine thousand, nine hundred eighty-four".