6438457600 has 243 divisors, whose sum is σ = 17220545167. Its totient is φ = 2382807040.

The previous prime is 6438457513. The next prime is 6438457601. The reversal of 6438457600 is 67548346.

The square root of 6438457600 is 80240.

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 150601984 + 6287855616 = 12272^2 + 79296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6438457601) 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, 109126371 + ... + 109126429.

Almost surely, 2^6438457600 is an apocalyptic number.

6438457600 is the 80240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438457600

6438457600 is an abundant number, since it is smaller than the sum of its proper divisors (10782087567).

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

6438457600 is an equidigital number, since it uses as much as digits as its factorization.

6438457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The cubic root of 6438457600 is about 1860.3469503477.

The spelling of 6438457600 in words is "six billion, four hundred thirty-eight million, four hundred fifty-seven thousand, six hundred".