63242190400 has 63 divisors (see below), whose sum is σ = 155640070609. Its totient is φ = 25292852480.

The previous prime is 63242190377. The next prime is 63242190413. The reversal of 63242190400 is 409124236.

It is a happy number.

The square root of 63242190400 is 251480.

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

63242190400 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., 22767188544 + 40475001856 = 150888^2 + 201184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10056057 + ... + 10062343.

Almost surely, 2^63242190400 is an apocalyptic number.

63242190400 is the 251480-th square number.

It is an amenable number.

63242190400 is an abundant number, since it is smaller than the sum of its proper divisors (92397880209).

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

63242190400 is an frugal number, since it uses more digits than its factorization.

63242190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 63242190400 in words is "sixty-three billion, two hundred forty-two million, one hundred ninety thousand, four hundred".