704289351168 has 640 divisors, whose sum is σ = 2334490583040. Its totient is φ = 208182804480.

The previous prime is 704289351167. The next prime is 704289351257. The reversal of 704289351168 is 861153982407.

704289351168 is a `hidden beast` number, since 7 + 0 + 4 + 289 + 351 + 1 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704289351167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930368646 + ... + 930369402.

It is an arithmetic number, because the mean of its divisors is an integer number (3647641536).

It is a 1-persistent number, because it is pandigital, but 2⋅704289351168 = 1408578702336 is not.

Almost surely, 2^704289351168 is an apocalyptic number.

704289351168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704289351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167245291520).

704289351168 is an abundant number, since it is smaller than the sum of its proper divisors (1630201231872).

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

704289351168 is a wasteful number, since it uses less digits than its factorization.

704289351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 704289351168 in words is "seven hundred four billion, two hundred eighty-nine million, three hundred fifty-one thousand, one hundred sixty-eight".