13620006819 has 32 divisors (see below), whose sum is σ = 20416968000. Its totient is φ = 8972819712.

The previous prime is 13620006817. The next prime is 13620006821. The reversal of 13620006819 is 91860002631.

13620006819 is a `hidden beast` number, since 13 + 620 + 0 + 0 + 6 + 8 + 19 = 666.

It is an interprime number because it is at equal distance from previous prime (13620006817) and next prime (13620006821).

It is not a de Polignac number, because 13620006819 - 2¹ = 13620006817 is a prime.

It is a super-2 number, since 2×13620006819² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13620006817) 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 31 ways as a sum of consecutive naturals, for example, 1138879 + ... + 1150775.

It is an arithmetic number, because the mean of its divisors is an integer number (638030250).

Almost surely, 2^13620006819 is an apocalyptic number.

13620006819 is a deficient number, since it is larger than the sum of its proper divisors (6796961181).

13620006819 is a wasteful number, since it uses less digits than its factorization.

13620006819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13620006819 in words is "thirteen billion, six hundred twenty million, six thousand, eight hundred nineteen".