630985904640 has 2400 divisors, whose sum is σ = 3008408168304. Its totient is φ = 124853944320.

The previous prime is 630985904629. The next prime is 630985904671. The reversal of 630985904640 is 46409589036.

630985904640 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 8 + 590 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 297382627584 + 333603277056 = 545328^2 + 577584^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2245501300 + ... + 2245501580.

Almost surely, 2^630985904640 is an apocalyptic number.

630985904640 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 630985904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504204084152).

630985904640 is an abundant number, since it is smaller than the sum of its proper divisors (2377422263664).

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

630985904640 is a wasteful number, since it uses less digits than its factorization.

630985904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 630985904640 in words is "six hundred thirty billion, nine hundred eighty-five million, nine hundred four thousand, six hundred forty".