704259820992 has 672 divisors, whose sum is σ = 2523888353280. Its totient is φ = 171186462720.

The previous prime is 704259820969. The next prime is 704259820993. The reversal of 704259820992 is 299028952407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704259820993) 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, 85975617 + ... + 85983807.

It is an arithmetic number, because the mean of its divisors is an integer number (3755786240).

Almost surely, 2^704259820992 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 704259820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261944176640).

704259820992 is an abundant number, since it is smaller than the sum of its proper divisors (1819628532288).

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

704259820992 is a wasteful number, since it uses less digits than its factorization.

704259820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

It can be divided in two parts, 704259 and 820992, that added together give a palindrome (1525251).

The spelling of 704259820992 in words is "seven hundred four billion, two hundred fifty-nine million, eight hundred twenty thousand, nine hundred ninety-two".