706590440806464 has 336 divisors, whose sum is σ = 2097516001576320. Its totient is φ = 227152001556480.

The previous prime is 706590440806463. The next prime is 706590440806483. The reversal of 706590440806464 is 464608044095607.

It is a happy number.

706590440806464 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 90 + 4 + 4 + 0 + 80 + 6 + 464 = 666.

It is a super-3 number, since 3×706590440806464³ (a number of 46 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (706590440806463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119822015164 + ... + 119822021060.

Almost surely, 2^{706590440806464} 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 706590440806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048758000788160).

706590440806464 is an abundant number, since it is smaller than the sum of its proper divisors (1390925560769856).

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

706590440806464 is a wasteful number, since it uses less digits than its factorization.

706590440806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 706590440806464 in words is "seven hundred six trillion, five hundred ninety billion, four hundred forty million, eight hundred six thousand, four hundred sixty-four".