6884138520 has 192 divisors, whose sum is σ = 26915616000. Its totient is φ = 1490690304.

The previous prime is 6884138507. The next prime is 6884138531. The reversal of 6884138520 is 258314886.

6884138520 is a `hidden beast` number, since 6 + 88 + 41 + 3 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24010 + ... + 119769.

It is an arithmetic number, because the mean of its divisors is an integer number (140185500).

Almost surely, 2^6884138520 is an apocalyptic number.

6884138520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6884138520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457808000).

6884138520 is an abundant number, since it is smaller than the sum of its proper divisors (20031477480).

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

6884138520 is a wasteful number, since it uses less digits than its factorization.

6884138520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143822 (or 143815 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6884138520 is about 82970.7088073858. The cubic root of 6884138520 is about 1902.3183629861.

The spelling of 6884138520 in words is "six billion, eight hundred eighty-four million, one hundred thirty-eight thousand, five hundred twenty".