704345625600 has 1056 divisors, whose sum is σ = 2564556274560. Its totient is φ = 169869312000.

The previous prime is 704345625593. The next prime is 704345625631. The reversal of 704345625600 is 6526543407.

It is a super-2 number, since 2×704345625600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3649459104 + ... + 3649459296.

Almost surely, 2^704345625600 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 704345625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282278137280).

704345625600 is an abundant number, since it is smaller than the sum of its proper divisors (1860210648960).

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

704345625600 is a wasteful number, since it uses less digits than its factorization.

704345625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

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

The spelling of 704345625600 in words is "seven hundred four billion, three hundred forty-five million, six hundred twenty-five thousand, six hundred".