6838745760 has 1080 divisors, whose sum is σ = 31206580020. Its totient is φ = 1405071360.

The previous prime is 6838745743. The next prime is 6838745789. The reversal of 6838745760 is 675478386.

6838745760 is a `hidden beast` number, since 68 + 3 + 8 + 7 + 4 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6462230544 + 376515216 = 80388^2 + 19404^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6838745697 and 6838745706.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 76839796 + ... + 76839884.

Almost surely, 2^6838745760 is an apocalyptic number.

6838745760 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 6838745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603290010).

6838745760 is an abundant number, since it is smaller than the sum of its proper divisors (24367834260).

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

6838745760 is a wasteful number, since it uses less digits than its factorization.

6838745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 6838745760 is about 82696.7094871374. The cubic root of 6838745760 is about 1898.1279585121.

The spelling of 6838745760 in words is "six billion, eight hundred thirty-eight million, seven hundred forty-five thousand, seven hundred sixty".