706839168672 has 216 divisors, whose sum is σ = 2487531350304. Its totient is φ = 186419031552.

The previous prime is 706839168667. The next prime is 706839168677. The reversal of 706839168672 is 276861938607.

706839168672 is a `hidden beast` number, since 70 + 68 + 391 + 68 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (706839168667) and next prime (706839168677).

It is a super-2 number, since 2×706839168672² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (706839168677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696618 + ... + 1378025.

It is an arithmetic number, because the mean of its divisors is an integer number (11516348844).

Almost surely, 2^706839168672 is an apocalyptic number.

706839168672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

706839168672 is an abundant number, since it is smaller than the sum of its proper divisors (1780692181632).

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

706839168672 is a wasteful number, since it uses less digits than its factorization.

706839168672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074692 (or 2074668 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 706839168672 in words is "seven hundred six billion, eight hundred thirty-nine million, one hundred sixty-eight thousand, six hundred seventy-two".