68445024400 has 135 divisors (see below), whose sum is σ = 167368952601. Its totient is φ = 26898721920.

The previous prime is 68445024377. The next prime is 68445024413. The reversal of 68445024400 is 442054486.

It is a happy number.

The square root of 68445024400 is 261620.

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

68445024400 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., 24640208784 + 43804815616 = 156972^2 + 209296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68445024400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538937137 + ... + 538937263.

Almost surely, 2^68445024400 is an apocalyptic number.

68445024400 is the 261620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68445024400

68445024400 is an abundant number, since it is smaller than the sum of its proper divisors (98923928201).

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

68445024400 is a wasteful number, since it uses less digits than its factorization.

68445024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 68445024400 its reverse (442054486), we get a palindrome (68887078886).

The spelling of 68445024400 in words is "sixty-eight billion, four hundred forty-five million, twenty-four thousand, four hundred".