706527319680 has 768 divisors, whose sum is σ = 3010843180800. Its totient is φ = 148667498496.

The previous prime is 706527319679. The next prime is 706527319699. The reversal of 706527319680 is 86913725607.

706527319680 is a `hidden beast` number, since 7 + 0 + 6 + 527 + 31 + 9 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219621432 + ... + 219624648.

It is an arithmetic number, because the mean of its divisors is an integer number (3920368725).

Almost surely, 2^706527319680 is an apocalyptic number.

706527319680 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 706527319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505421590400).

706527319680 is an abundant number, since it is smaller than the sum of its proper divisors (2304315861120).

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

706527319680 is a wasteful number, since it uses less digits than its factorization.

706527319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 706527319680 in words is "seven hundred six billion, five hundred twenty-seven million, three hundred nineteen thousand, six hundred eighty".