9705000630 has 128 divisors (see below), whose sum is σ = 26608756608. Its totient is φ = 2244206592.

The previous prime is 9705000629. The next prime is 9705000661. The reversal of 9705000630 is 360005079.

9705000630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4858792 + ... + 4860788.

It is an arithmetic number, because the mean of its divisors is an integer number (207880911).

Almost surely, 2^9705000630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9705000630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304378304).

9705000630 is an abundant number, since it is smaller than the sum of its proper divisors (16903755978).

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

9705000630 is a wasteful number, since it uses less digits than its factorization.

9705000630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 9705000630 is about 98513.9615993591. The cubic root of 9705000630 is about 2133.0376570740.

The spelling of 9705000630 in words is "nine billion, seven hundred five million, six hundred thirty", and thus it is an aban number.