9772588740996 has 243 divisors, whose sum is σ = 26847525666871. Its totient is φ = 3112184036016.

The previous prime is 9772588740931. The next prime is 9772588740997. The reversal of 9772588740996 is 6990478852779.

The square root of 9772588740996 is 3126114.

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

9772588740996 is a `hidden beast` number, since 9 + 7 + 72 + 58 + 8 + 7 + 409 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9772588740997) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11647900345 + ... + 11647901183.

Almost surely, 2^{9772588740996} is an apocalyptic number.

9772588740996 is the 3126114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9772588740996

9772588740996 is an abundant number, since it is smaller than the sum of its proper divisors (17074936925875).

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

9772588740996 is an frugal number, since it uses more digits than its factorization.

9772588740996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

Multiplying 9772588740996 by its sum of digits (81), we get a square (791579688020676 = 28135026²).

9772588740996 divided by its sum of digits (81) gives a square (120649243716 = 347346²).

The spelling of 9772588740996 in words is "nine trillion, seven hundred seventy-two billion, five hundred eighty-eight million, seven hundred forty thousand, nine hundred ninety-six".