6385340160 has 288 divisors, whose sum is σ = 22948887360. Its totient is φ = 1702010880.

The previous prime is 6385340113. The next prime is 6385340167. The reversal of 6385340160 is 610435836.

6385340160 is a `hidden beast` number, since 63 + 8 + 534 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6385340167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798220 + ... + 2800500.

Almost surely, 2^6385340160 is an apocalyptic number.

6385340160 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 6385340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474443680).

6385340160 is an abundant number, since it is smaller than the sum of its proper divisors (16563547200).

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

6385340160 is an frugal number, since it uses more digits than its factorization.

6385340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6385340160 is about 79908.3234713381. The cubic root of 6385340160 is about 1855.2168465607.

Adding to 6385340160 its reverse (610435836), we get a palindrome (6995775996).

The spelling of 6385340160 in words is "six billion, three hundred eighty-five million, three hundred forty thousand, one hundred sixty".