630773442086400 has 1440 divisors, whose sum is σ = 2366266276408320. Its totient is φ = 160299644682240.

The previous prime is 630773442086399. The next prime is 630773442086407. The reversal of 630773442086400 is 4680244377036.

630773442086400 is a `hidden beast` number, since 6 + 3 + 0 + 77 + 34 + 420 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630773442086407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71169288369 + ... + 71169297231.

It is an arithmetic number, because the mean of its divisors is an integer number (1643240469728).

Almost surely, 2^{630773442086400} is an apocalyptic number.

630773442086400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630773442086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183133138204160).

630773442086400 is an abundant number, since it is smaller than the sum of its proper divisors (1735492834321920).

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

630773442086400 is a wasteful number, since it uses less digits than its factorization.

630773442086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 630773442086400 in words is "six hundred thirty trillion, seven hundred seventy-three billion, four hundred forty-two million, eighty-six thousand, four hundred".