706305600000 has 2880 divisors, whose sum is σ = 3490764076800. Its totient is φ = 135475200000.

The previous prime is 706305599999. The next prime is 706305600019. The reversal of 706305600000 is 6503607.

706305600000 is a `hidden beast` number, since 70 + 6 + 30 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 54331199994 + ... + 54331200006.

It is an arithmetic number, because the mean of its divisors is an integer number (1212070860).

Almost surely, 2^706305600000 is an apocalyptic number.

706305600000 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 706305600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745382038400).

706305600000 is an abundant number, since it is smaller than the sum of its proper divisors (2784458476800).

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

706305600000 is an equidigital number, since it uses as much as digits as its factorization.

706305600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 706305600000 in words is "seven hundred six billion, three hundred five million, six hundred thousand".