706733664 has 288 divisors, whose sum is σ = 2361139200. Its totient is φ = 184923648.

The previous prime is 706733647. The next prime is 706733669. The reversal of 706733664 is 466337607.

706733664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706733669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5564769 + ... + 5564895.

It is an arithmetic number, because the mean of its divisors is an integer number (8198400).

Almost surely, 2^706733664 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 706733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180569600).

706733664 is an abundant number, since it is smaller than the sum of its proper divisors (1654405536).

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

706733664 is a wasteful number, since it uses less digits than its factorization.

706733664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 706733664 is about 26584.4628307589. The cubic root of 706733664 is about 890.7419911714.

The spelling of 706733664 in words is "seven hundred six million, seven hundred thirty-three thousand, six hundred sixty-four".