630906366240 has 72 divisors (see below), whose sum is σ = 2152967979708. Its totient is φ = 168241697280.

The previous prime is 630906366197. The next prime is 630906366253. The reversal of 630906366240 is 42663609036.

It is a happy number.

630906366240 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 0 + 636 + 6 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 605613916944 + 25292449296 = 778212^2 + 159036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×630906366240² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 219063271 + ... + 219066150.

Almost surely, 2^630906366240 is an apocalyptic number.

630906366240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630906366240 is an abundant number, since it is smaller than the sum of its proper divisors (1522061613468).

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

630906366240 is a wasteful number, since it uses less digits than its factorization.

630906366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438129442 (or 438129431 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 630906366240 in words is "six hundred thirty billion, nine hundred six million, three hundred sixty-six thousand, two hundred forty".