68633520400 has 45 divisors (see below), whose sum is σ = 164904621861. Its totient is φ = 27451312320.

The previous prime is 68633520379. The next prime is 68633520437. The reversal of 68633520400 is 402533686.

The square root of 68633520400 is 261980.

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

68633520400 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., 24708067344 + 43925453056 = 157188^2 + 209584^2 .

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 68633520400.

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, 5233051 + ... + 5246149.

Almost surely, 2^68633520400 is an apocalyptic number.

68633520400 is the 261980-th square number.

It is an amenable number.

68633520400 is an abundant number, since it is smaller than the sum of its proper divisors (96271101461).

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

68633520400 is an frugal number, since it uses more digits than its factorization.

68633520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 68633520400 in words is "sixty-eight billion, six hundred thirty-three million, five hundred twenty thousand, four hundred".