705600000000 has 1053 divisors, whose sum is σ = 2963636666211. Its totient is φ = 161280000000.

The previous prime is 705599999969. The next prime is 705600000019. The reversal of 705600000000 is 6507.

The square root of 705600000000 is 840000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 501671890944 + 203928109056 = 708288^2 + 451584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 100799999997 + ... + 100800000003.

Almost surely, 2^705600000000 is an apocalyptic number.

705600000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

705600000000 is the 840000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705600000000

705600000000 is an abundant number, since it is smaller than the sum of its proper divisors (2258036666211).

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

705600000000 is an frugal number, since it uses more digits than its factorization.

705600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

Adding to 705600000000 its reverse (6507), we get a palindrome (705600006507).

The spelling of 705600000000 in words is "seven hundred five billion, six hundred million", and thus it is an aban number.