673023344400 has 675 divisors, whose sum is σ = 2592056572495. Its totient is φ = 161713305600.

The previous prime is 673023344363. The next prime is 673023344407. The reversal of 673023344400 is 4443320376.

The square root of 673023344400 is 820380.

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

673023344400 is a `hidden beast` number, since 6 + 7 + 302 + 3 + 344 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342407544336 + 330615800064 = 585156^2 + 574992^2 .

It is a super-2 number, since 2×673023344400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (673023344407) 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 134 ways as a sum of consecutive naturals, for example, 5955958744 + ... + 5955958856.

Almost surely, 2^673023344400 is an apocalyptic number.

673023344400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

673023344400 is the 820380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673023344400

673023344400 is an abundant number, since it is smaller than the sum of its proper divisors (1919033228095).

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

673023344400 is a wasteful number, since it uses less digits than its factorization.

673023344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Multiplying 673023344400 by its sum of digits (36), we get a square (24228840398400 = 4922280²).

673023344400 divided by its sum of digits (36) gives a square (18695092900 = 136730²).

Adding to 673023344400 its reverse (4443320376), we get a palindrome (677466664776).

The spelling of 673023344400 in words is "six hundred seventy-three billion, twenty-three million, three hundred forty-four thousand, four hundred".