706134933504 has 1368 divisors, whose sum is σ = 2873730292992. Its totient is φ = 161942077440.

The previous prime is 706134933457. The next prime is 706134933509. The reversal of 706134933504 is 405339431607.

706134933504 is a `hidden beast` number, since 7 + 0 + 6 + 134 + 9 + 3 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 706134933504.

It is not an unprimeable number, because it can be changed into a prime (706134933509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30701518837 + ... + 30701518859.

Almost surely, 2^706134933504 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 706134933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436865146496).

706134933504 is an abundant number, since it is smaller than the sum of its proper divisors (2167595359488).

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

706134933504 is a wasteful number, since it uses less digits than its factorization.

706134933504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 706134933504 in words is "seven hundred six billion, one hundred thirty-four million, nine hundred thirty-three thousand, five hundred four".