672203214400 has 189 divisors, whose sum is σ = 1678690000881. Its totient is φ = 264932743680.

The previous prime is 672203214343. The next prime is 672203214409. The reversal of 672203214400 is 4412302276.

It is a happy number.

The square root of 672203214400 is 819880.

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

It can be written as a sum of positive squares in only one way, i.e., 241993157184 + 430210057216 = 491928^2 + 655904^2 .

It is a super-2 number, since 2×672203214400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672203214409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3377905501 + ... + 3377905699.

Almost surely, 2^672203214400 is an apocalyptic number.

672203214400 is the 819880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672203214400

672203214400 is an abundant number, since it is smaller than the sum of its proper divisors (1006486786481).

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

672203214400 is an equidigital number, since it uses as much as digits as its factorization.

672203214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 672203214400 its reverse (4412302276), we get a palindrome (676615516676).

The spelling of 672203214400 in words is "six hundred seventy-two billion, two hundred three million, two hundred fourteen thousand, four hundred".