706025635728 has 160 divisors (see below), whose sum is σ = 2090182886400. Its totient is φ = 201168327168.

The previous prime is 706025635709. The next prime is 706025635771. The reversal of 706025635728 is 827536520607.

It is a happy number.

It is a super-3 number, since 3×706025635728³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265521663 + ... + 265524321.

It is an arithmetic number, because the mean of its divisors is an integer number (13063643040).

Almost surely, 2^706025635728 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 706025635728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045091443200).

706025635728 is an abundant number, since it is smaller than the sum of its proper divisors (1384157250672).

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

706025635728 is a wasteful number, since it uses less digits than its factorization.

706025635728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 706025635728 in words is "seven hundred six billion, twenty-five million, six hundred thirty-five thousand, seven hundred twenty-eight".