63826969600 has 99 divisors (see below), whose sum is σ = 158313856197. Its totient is φ = 25514618880.

The previous prime is 63826969597. The next prime is 63826969631. The reversal of 63826969600 is 696962836.

It is a happy number.

The square root of 63826969600 is 252640.

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

It can be written as a sum of positive squares in only one way, i.e., 22977709056 + 40849260544 = 151584^2 + 202112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40421611 + ... + 40423189.

Almost surely, 2^63826969600 is an apocalyptic number.

63826969600 is the 252640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63826969600

63826969600 is an abundant number, since it is smaller than the sum of its proper divisors (94486886597).

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

63826969600 is an frugal number, since it uses more digits than its factorization.

63826969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 63826969600 in words is "sixty-three billion, eight hundred twenty-six million, nine hundred sixty-nine thousand, six hundred".