63872452900 has 81 divisors (see below), whose sum is σ = 140408733969. Its totient is φ = 25220432160.

The previous prime is 63872452877. The next prime is 63872452909. The reversal of 63872452900 is 925427836.

The square root of 63872452900 is 252730.

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., 22994083044 + 40878369856 = 151638^2 + 202184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63872452909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320967001 + ... + 320967199.

Almost surely, 2^63872452900 is an apocalyptic number.

63872452900 is the 252730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63872452900

63872452900 is an abundant number, since it is smaller than the sum of its proper divisors (76536281069).

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

63872452900 is a wasteful number, since it uses less digits than its factorization.

63872452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 63872452900 in words is "sixty-three billion, eight hundred seventy-two million, four hundred fifty-two thousand, nine hundred".