9640742900 has 54 divisors (see below), whose sum is σ = 21149191938. Its totient is φ = 3814208000.

The previous prime is 9640742897. The next prime is 9640742929. The reversal of 9640742900 is 92470469.

It can be written as a sum of positive squares in 9 ways, for example, as 773507344 + 8867235556 = 27812^2 + 94166^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9867212 + ... + 9868188.

Almost surely, 2^9640742900 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 9640742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574595969).

9640742900 is an abundant number, since it is smaller than the sum of its proper divisors (11508449038).

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

9640742900 is a wasteful number, since it uses less digits than its factorization.

9640742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 9640742900 is about 98187.2848183511. The cubic root of 9640742900 is about 2128.3195471125.

The spelling of 9640742900 in words is "nine billion, six hundred forty million, seven hundred forty-two thousand, nine hundred".