9975746761 has 16 divisors (see below), whose sum is σ = 10804969728. Its totient is φ = 9174880000.

The previous prime is 9975746741. The next prime is 9975746779. The reversal of 9975746761 is 1676475799.

It is a cyclic number.

It is not a de Polignac number, because 9975746761 - 2²³ = 9967358153 is a prime.

It is a super-2 number, since 2×9975746761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9975746761.

It is not an unprimeable number, because it can be changed into a prime (9975746701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204096 + ... + 248206.

It is an arithmetic number, because the mean of its divisors is an integer number (675310608).

Almost surely, 2^9975746761 is an apocalyptic number.

It is an amenable number.

9975746761 is a deficient number, since it is larger than the sum of its proper divisors (829222967).

9975746761 is a wasteful number, since it uses less digits than its factorization.

9975746761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44432.

The product of its digits is 20003760, while the sum is 61.

The square root of 9975746761 is about 99878.6601882504. The cubic root of 9975746761 is about 2152.6915460603.

The spelling of 9975746761 in words is "nine billion, nine hundred seventy-five million, seven hundred forty-six thousand, seven hundred sixty-one".