9649273727772 has 576 divisors, whose sum is σ = 30847574822400. Its totient is φ = 2593584645120.

The previous prime is 9649273727761. The next prime is 9649273727777. The reversal of 9649273727772 is 2777273729469.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9649273727772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649273727777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14776835398 + ... + 14776836050.

It is an arithmetic number, because the mean of its divisors is an integer number (53554817400).

Almost surely, 2^{9649273727772} 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 9649273727772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423787411200).

9649273727772 is an abundant number, since it is smaller than the sum of its proper divisors (21198301094628).

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

9649273727772 is a wasteful number, since it uses less digits than its factorization.

9649273727772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1488 counting only the distinct ones).

The product of its digits is 784147392, while the sum is 72.

The spelling of 9649273727772 in words is "nine trillion, six hundred forty-nine billion, two hundred seventy-three million, seven hundred twenty-seven thousand, seven hundred seventy-two".