706405884912 has 960 divisors, whose sum is σ = 2608135735296. Its totient is φ = 173425950720.

The previous prime is 706405884901. The next prime is 706405884913. The reversal of 706405884912 is 219488504607.

It is a happy number.

706405884912 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 0 + 588 + 49 + 12 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706405884913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2134156587 + ... + 2134156917.

Almost surely, 2^706405884912 is an apocalyptic number.

706405884912 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 706405884912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304067867648).

706405884912 is an abundant number, since it is smaller than the sum of its proper divisors (1901729850384).

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

706405884912 is a wasteful number, since it uses less digits than its factorization.

706405884912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 706405884912 in words is "seven hundred six billion, four hundred five million, eight hundred eighty-four thousand, nine hundred twelve".