7478205990813 has 24 divisors (see below), whose sum is σ = 11357516565720. Its totient is φ = 4734647084160.

The previous prime is 7478205990809. The next prime is 7478205990841. The reversal of 7478205990813 is 3180995028747.

7478205990813 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 20 + 599 + 0 + 8 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060283844 + 7477145706969 = 32562^2 + 2734437^2 .

It is not a de Polignac number, because 7478205990813 - 2² = 7478205990809 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478205990803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234837606 + ... + 234869447.

It is an arithmetic number, because the mean of its divisors is an integer number (473229856905).

Almost surely, 2^{7478205990813} is an apocalyptic number.

It is an amenable number.

7478205990813 is a deficient number, since it is larger than the sum of its proper divisors (3879310574907).

7478205990813 is a wasteful number, since it uses less digits than its factorization.

7478205990813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469707149 (or 469707146 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 7478205990813 in words is "seven trillion, four hundred seventy-eight billion, two hundred five million, nine hundred ninety thousand, eight hundred thirteen".