705959940672 has 504 divisors, whose sum is σ = 2535522642432. Its totient is φ = 186704179200.

The previous prime is 705959940629. The next prime is 705959940691. The reversal of 705959940672 is 276049959507.

705959940672 is a `hidden beast` number, since 70 + 5 + 9 + 5 + 99 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×705959940672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 20106172 + ... + 20141252.

Almost surely, 2^705959940672 is an apocalyptic number.

705959940672 is a gapful number since it is divisible by the number (72) 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 705959940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267761321216).

705959940672 is an abundant number, since it is smaller than the sum of its proper divisors (1829562701760).

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

705959940672 is a wasteful number, since it uses less digits than its factorization.

705959940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35167 (or 35147 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 705959940672 in words is "seven hundred five billion, nine hundred fifty-nine million, nine hundred forty thousand, six hundred seventy-two".