7953116409 has 64 divisors (see below), whose sum is σ = 14605678080. Its totient is φ = 4172912640.

The previous prime is 7953116407. The next prime is 7953116429. The reversal of 7953116409 is 9046113597.

7953116409 is a `hidden beast` number, since 79 + 531 + 1 + 6 + 40 + 9 = 666.

It is not a de Polignac number, because 7953116409 - 2¹ = 7953116407 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7953116407) 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 63 ways as a sum of consecutive naturals, for example, 101547 + ... + 161919.

It is an arithmetic number, because the mean of its divisors is an integer number (228213720).

Almost surely, 2^7953116409 is an apocalyptic number.

It is an amenable number.

7953116409 is a deficient number, since it is larger than the sum of its proper divisors (6652561671).

7953116409 is a wasteful number, since it uses less digits than its factorization.

7953116409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60447 (or 60441 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7953116409 is about 89180.2467422018. The cubic root of 7953116409 is about 1996.0853769456.

The spelling of 7953116409 in words is "seven billion, nine hundred fifty-three million, one hundred sixteen thousand, four hundred nine".