706365254400 has 864 divisors, whose sum is σ = 2658051873792. Its totient is φ = 163877683200.

The previous prime is 706365254381. The next prime is 706365254401. The reversal of 706365254400 is 4452563607.

It is not an unprimeable number, because it can be changed into a prime (706365254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407595934 + ... + 407597666.

It is an arithmetic number, because the mean of its divisors is an integer number (3076448928).

Almost surely, 2^706365254400 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 706365254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329025936896).

706365254400 is an abundant number, since it is smaller than the sum of its proper divisors (1951686619392).

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

706365254400 is a wasteful number, since it uses less digits than its factorization.

706365254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 706365254400 in words is "seven hundred six billion, three hundred sixty-five million, two hundred fifty-four thousand, four hundred".