706638366720 has 1536 divisors, whose sum is σ = 3009632371200. Its totient is φ = 155005747200.

The previous prime is 706638366689. The next prime is 706638366737. The reversal of 706638366720 is 27663836607.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2411734894 + ... + 2411735186.

It is an arithmetic number, because the mean of its divisors is an integer number (1959396075).

Almost surely, 2^706638366720 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 706638366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504816185600).

706638366720 is an abundant number, since it is smaller than the sum of its proper divisors (2302994004480).

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

706638366720 is a wasteful number, since it uses less digits than its factorization.

706638366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 706638366720 in words is "seven hundred six billion, six hundred thirty-eight million, three hundred sixty-six thousand, seven hundred twenty".