7838000006 has 16 divisors (see below), whose sum is σ = 12078441360. Its totient is φ = 3811917600.

The previous prime is 7837999993. The next prime is 7838000017. The reversal of 7838000006 is 6000008387.

It is a super-2 number, since 2×7838000006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 259565 + ... + 288183.

It is an arithmetic number, because the mean of its divisors is an integer number (754902585).

Almost surely, 2^7838000006 is an apocalyptic number.

7838000006 is a deficient number, since it is larger than the sum of its proper divisors (4240441354).

7838000006 is a wasteful number, since it uses less digits than its factorization.

7838000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32359.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7838000006 is about 88532.4799494513. The cubic root of 7838000006 is about 1986.4078363022.

The spelling of 7838000006 in words is "seven billion, eight hundred thirty-eight million, six", and thus it is an aban number.