630181945600 has 81 divisors (see below), whose sum is σ = 1559955987373. Its totient is φ = 252047375360.

The previous prime is 630181945579. The next prime is 630181945607. The reversal of 630181945600 is 6549181036.

The square root of 630181945600 is 793840.

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., 226865500416 + 403316445184 = 476304^2 + 635072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (630181945607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63502239 + ... + 63512161.

Almost surely, 2^630181945600 is an apocalyptic number.

630181945600 is the 793840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630181945600

630181945600 is an abundant number, since it is smaller than the sum of its proper divisors (929774041773).

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

630181945600 is an frugal number, since it uses more digits than its factorization.

630181945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19872 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 630181945600 in words is "six hundred thirty billion, one hundred eighty-one million, nine hundred forty-five thousand, six hundred".