706586896680 has 256 divisors, whose sum is σ = 2431859189760. Its totient is φ = 160888550400.

The previous prime is 706586896651. The next prime is 706586896711. The reversal of 706586896680 is 86698685607.

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 63 ways as a sum of consecutive naturals, for example, 318137970 + ... + 318140190.

It is an arithmetic number, because the mean of its divisors is an integer number (9499449960).

Almost surely, 2^706586896680 is an apocalyptic number.

706586896680 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 706586896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215929594880).

706586896680 is an abundant number, since it is smaller than the sum of its proper divisors (1725272293080).

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

706586896680 is a wasteful number, since it uses less digits than its factorization.

706586896680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 706586896680 in words is "seven hundred six billion, five hundred eighty-six million, eight hundred ninety-six thousand, six hundred eighty".