706789248000 has 704 divisors, whose sum is σ = 2584290009600. Its totient is φ = 170041344000.

The previous prime is 706789247987. The next prime is 706789248007. The reversal of 706789248000 is 842987607.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (706789248007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629375439 + ... + 629376561.

Almost surely, 2^706789248000 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 706789248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292145004800).

706789248000 is an abundant number, since it is smaller than the sum of its proper divisors (1877500761600).

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

706789248000 is a wasteful number, since it uses less digits than its factorization.

706789248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 706789248000 in words is "seven hundred six billion, seven hundred eighty-nine million, two hundred forty-eight thousand".