67485648400 has 135 divisors (see below), whose sum is σ = 167933916813. Its totient is φ = 26061129600.

The previous prime is 67485648379. The next prime is 67485648409. The reversal of 67485648400 is 484658476.

The square root of 67485648400 is 259780.

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

67485648400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24294833424 + 43190814976 = 155868^2 + 207824^2 .

It is not an unprimeable number, because it can be changed into a prime (67485648409) 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, 161063391 + ... + 161063809.

Almost surely, 2^67485648400 is an apocalyptic number.

67485648400 is the 259780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67485648400

67485648400 is an abundant number, since it is smaller than the sum of its proper divisors (100448268413).

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

67485648400 is an equidigital number, since it uses as much as digits as its factorization.

67485648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 67485648400 in words is "sixty-seven billion, four hundred eighty-five million, six hundred forty-eight thousand, four hundred".