9670146624 has 84 divisors (see below), whose sum is σ = 27746765436. Its totient is φ = 3220005888.

The previous prime is 9670146623. The next prime is 9670146631. The reversal of 9670146624 is 4266410769.

9670146624 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 14 + 6 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2287900224 + 7382246400 = 47832^2 + 85920^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9670146624.

It is not an unprimeable number, because it can be changed into a prime (9670146623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575202 + ... + 591774.

Almost surely, 2^9670146624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9670146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873382718).

9670146624 is an abundant number, since it is smaller than the sum of its proper divisors (18076618812).

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

9670146624 is a wasteful number, since it uses less digits than its factorization.

9670146624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17604 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9670146624 is about 98336.9036730362. The cubic root of 9670146624 is about 2130.4811027251.

The spelling of 9670146624 in words is "nine billion, six hundred seventy million, one hundred forty-six thousand, six hundred twenty-four".