7013838864384 has 300 divisors, whose sum is σ = 22859269210008. Its totient is φ = 2125401292800.

The previous prime is 7013838864317. The next prime is 7013838864407. The reversal of 7013838864384 is 4834688383107.

7013838864384 is a `hidden beast` number, since 7 + 0 + 138 + 388 + 6 + 43 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14357914 + ... + 14838374.

Almost surely, 2^{7013838864384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7013838864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429634605004).

7013838864384 is an abundant number, since it is smaller than the sum of its proper divisors (15845430345624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7013838864384 is an equidigital number, since it uses as much as digits as its factorization.

7013838864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480512 (or 480477 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 7013838864384 in words is "seven trillion, thirteen billion, eight hundred thirty-eight million, eight hundred sixty-four thousand, three hundred eighty-four".