6836348160 has 432 divisors, whose sum is σ = 25356065280. Its totient is φ = 1761730560.

The previous prime is 6836348137. The next prime is 6836348161. The reversal of 6836348160 is 618436386.

6836348160 is a `hidden beast` number, since 6 + 8 + 3 + 634 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6836348161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9641886 + ... + 9642594.

Almost surely, 2^6836348160 is an apocalyptic number.

6836348160 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 6836348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678032640).

6836348160 is an abundant number, since it is smaller than the sum of its proper divisors (18519717120).

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

6836348160 is an equidigital number, since it uses as much as digits as its factorization.

6836348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6836348160 is about 82682.2118717200. The cubic root of 6836348160 is about 1897.9061106423.

The spelling of 6836348160 in words is "six billion, eight hundred thirty-six million, three hundred forty-eight thousand, one hundred sixty".