672268806400 has 243 divisors, whose sum is σ = 1716354117009. Its totient is φ = 260695203840.

The previous prime is 672268806379. The next prime is 672268806401. The reversal of 672268806400 is 4608862276.

The square root of 672268806400 is 819920.

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 365724981504 + 306543824896 = 604752^2 + 553664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672268806401) 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, 2426963062 + ... + 2426963338.

Almost surely, 2^672268806400 is an apocalyptic number.

672268806400 is the 819920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672268806400

672268806400 is an abundant number, since it is smaller than the sum of its proper divisors (1044085310609).

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

672268806400 is an frugal number, since it uses more digits than its factorization.

672268806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 672268806400 by its sum of digits (49), we get a square (32941171513600 = 5739440²).

The spelling of 672268806400 in words is "six hundred seventy-two billion, two hundred sixty-eight million, eight hundred six thousand, four hundred".