630335623680 has 1680 divisors, whose sum is σ = 2702828206584. Its totient is φ = 140460687360.

The previous prime is 630335623651. The next prime is 630335623721. The reversal of 630335623680 is 86326533036.

630335623680 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 3 + 562 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133885737216 + 496449886464 = 365904^2 + 704592^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5578191304 + ... + 5578191416.

Almost surely, 2^630335623680 is an apocalyptic number.

630335623680 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 630335623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351414103292).

630335623680 is an abundant number, since it is smaller than the sum of its proper divisors (2072492582904).

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

630335623680 is an equidigital number, since it uses as much as digits as its factorization.

630335623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 630335623680 in words is "six hundred thirty billion, three hundred thirty-five million, six hundred twenty-three thousand, six hundred eighty".