3072743106993 has 256 divisors, whose sum is σ = 5876416512000. Its totient is φ = 1545807504384.

The previous prime is 3072743106977. The next prime is 3072743107033. The reversal of 3072743106993 is 3996013472703.

3072743106993 is a `hidden beast` number, since 307 + 274 + 3 + 1 + 0 + 69 + 9 + 3 = 666.

It is not a de Polignac number, because 3072743106993 - 2⁴ = 3072743106977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3072743106973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 624665788 + ... + 624670706.

It is an arithmetic number, because the mean of its divisors is an integer number (22954752000).

Almost surely, 2^{3072743106993} is an apocalyptic number.

It is an amenable number.

3072743106993 is a deficient number, since it is larger than the sum of its proper divisors (2803673405007).

3072743106993 is a wasteful number, since it uses less digits than its factorization.

3072743106993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3072743106993 in words is "three trillion, seventy-two billion, seven hundred forty-three million, one hundred six thousand, nine hundred ninety-three".