706017734016 has 192 divisors, whose sum is σ = 2256768054000. Its totient is φ = 194763362304.

The previous prime is 706017733999. The next prime is 706017734039. The reversal of 706017734016 is 610437710607.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×706017734016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 101271 + ... + 1192598.

Almost surely, 2^706017734016 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 706017734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128384027000).

706017734016 is an abundant number, since it is smaller than the sum of its proper divisors (1550750319984).

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

706017734016 is a wasteful number, since it uses less digits than its factorization.

706017734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293929 (or 1293910 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 706017734016 in words is "seven hundred six billion, seventeen million, seven hundred thirty-four thousand, sixteen".