704961580960 has 1152 divisors, whose sum is σ = 2293459660800. Its totient is φ = 202330275840.

The previous prime is 704961580949. The next prime is 704961580963. The reversal of 704961580960 is 69085169407.

It is not an unprimeable number, because it can be changed into a prime (704961580963) 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 191 ways as a sum of consecutive naturals, for example, 6467537386 + ... + 6467537494.

It is an arithmetic number, because the mean of its divisors is an integer number (1990850400).

Almost surely, 2^704961580960 is an apocalyptic number.

704961580960 is a gapful number since it is divisible by the number (70) 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 704961580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146729830400).

704961580960 is an abundant number, since it is smaller than the sum of its proper divisors (1588498079840).

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

704961580960 is a wasteful number, since it uses less digits than its factorization.

704961580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 704961580960 in words is "seven hundred four billion, nine hundred sixty-one million, five hundred eighty thousand, nine hundred sixty".