630497986560 has 1344 divisors, whose sum is σ = 2503961132400. Its totient is φ = 151353556992.

The previous prime is 630497986553. The next prime is 630497986561. The reversal of 630497986560 is 65689794036.

630497986560 is a `hidden beast` number, since 6 + 3 + 0 + 497 + 9 + 86 + 5 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89884836864 + 540613149696 = 299808^2 + 735264^2 .

It is a super-2 number, since 2×630497986560² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (630497986561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7084246996 + ... + 7084247084.

Almost surely, 2^630497986560 is an apocalyptic number.

630497986560 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 630497986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251980566200).

630497986560 is an abundant number, since it is smaller than the sum of its proper divisors (1873463145840).

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

630497986560 is an equidigital number, since it uses as much as digits as its factorization.

630497986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 630497986560 in words is "six hundred thirty billion, four hundred ninety-seven million, nine hundred eighty-six thousand, five hundred sixty".