9926642766645 has 192 divisors, whose sum is σ = 20576218890240. Its totient is φ = 4373458790400.

The previous prime is 9926642766643. The next prime is 9926642766661. The reversal of 9926642766645 is 5466672466299.

It is not a de Polignac number, because 9926642766645 - 2¹ = 9926642766643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926642766643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32795064 + ... + 33096366.

It is an arithmetic number, because the mean of its divisors is an integer number (107167806720).

Almost surely, 2^{9926642766645} is an apocalyptic number.

9926642766645 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9926642766645 is an abundant number, since it is smaller than the sum of its proper divisors (10649576123595).

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

9926642766645 is a wasteful number, since it uses less digits than its factorization.

9926642766645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301488 (or 301485 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 9926642766645 in words is "nine trillion, nine hundred twenty-six billion, six hundred forty-two million, seven hundred sixty-six thousand, six hundred forty-five".