655581702400 has 243 divisors, whose sum is σ = 1685379766161. Its totient is φ = 252464701440.

The previous prime is 655581702397. The next prime is 655581702407. The reversal of 655581702400 is 4207185556.

The square root of 655581702400 is 809680.

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

It can be written as a sum of positive squares in 13 ways, for example, as 246063618304 + 409518084096 = 496048^2 + 639936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (655581702407) 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 26 ways as a sum of consecutive naturals, for example, 1878457426 + ... + 1878457774.

Almost surely, 2^655581702400 is an apocalyptic number.

655581702400 is the 809680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655581702400

655581702400 is an abundant number, since it is smaller than the sum of its proper divisors (1029798063761).

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

655581702400 is an frugal number, since it uses more digits than its factorization.

655581702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

Adding to 655581702400 its reverse (4207185556), we get a palindrome (659788887956).

The spelling of 655581702400 in words is "six hundred fifty-five billion, five hundred eighty-one million, seven hundred two thousand, four hundred".