9645993640 has 72 divisors (see below), whose sum is σ = 22196466810. Its totient is φ = 3772677376.

The previous prime is 9645993631. The next prime is 9645993649. The reversal of 9645993640 is 463995469.

It is an interprime number because it is at equal distance from previous prime (9645993631) and next prime (9645993649).

It can be written as a sum of positive squares in 9 ways, for example, as 7674811236 + 1971182404 = 87606^2 + 44398^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9645993649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32921334 + ... + 32921626.

Almost surely, 2^9645993640 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 9645993640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098233405).

9645993640 is an abundant number, since it is smaller than the sum of its proper divisors (12550473170).

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

9645993640 is an equidigital number, since it uses as much as digits as its factorization.

9645993640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The square root of 9645993640 is about 98214.0195695095. The cubic root of 9645993640 is about 2128.7058667311.

The spelling of 9645993640 in words is "nine billion, six hundred forty-five million, nine hundred ninety-three thousand, six hundred forty".