706400334416 has 160 divisors (see below), whose sum is σ = 1689821844480. Its totient is φ = 279179163648.

The previous prime is 706400334349. The next prime is 706400334439. The reversal of 706400334416 is 614433004607.

It is a happy number.

It is a super-2 number, since 2×706400334416² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 706400334416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34476911 + ... + 34497393.

It is an arithmetic number, because the mean of its divisors is an integer number (10561386528).

Almost surely, 2^706400334416 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 706400334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844910922240).

706400334416 is an abundant number, since it is smaller than the sum of its proper divisors (983421510064).

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

706400334416 is a wasteful number, since it uses less digits than its factorization.

706400334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881 (or 20875 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 706400334416 in words is "seven hundred six billion, four hundred million, three hundred thirty-four thousand, four hundred sixteen".