9742763395600 has 135 divisors (see below), whose sum is σ = 23541387074023. Its totient is φ = 3874856446720.

The previous prime is 9742763395597. The next prime is 9742763395639. The reversal of 9742763395600 is 65933672479.

The square root of 9742763395600 is 3121340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1648419752464 + 8094343643136 = 1283908^2 + 2845056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14920004874 + ... + 14920005526.

Almost surely, 2^{9742763395600} is an apocalyptic number.

9742763395600 is the 3121340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9742763395600

9742763395600 is an abundant number, since it is smaller than the sum of its proper divisors (13798623678423).

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

9742763395600 is an frugal number, since it uses more digits than its factorization.

9742763395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 61.

The spelling of 9742763395600 in words is "nine trillion, seven hundred forty-two billion, seven hundred sixty-three million, three hundred ninety-five thousand, six hundred".