6340239360 has 1008 divisors, whose sum is σ = 28552816656. Its totient is φ = 1337720832.

The previous prime is 6340239359. The next prime is 6340239379. The reversal of 6340239360 is 639320436.

6340239360 is a `hidden beast` number, since 63 + 4 + 0 + 239 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487710714 + ... + 487710726.

It is an arithmetic number, because the mean of its divisors is an integer number (28326207).

Almost surely, 2^6340239360 is an apocalyptic number.

6340239360 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 6340239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276408328).

6340239360 is an abundant number, since it is smaller than the sum of its proper divisors (22212577296).

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

6340239360 is an equidigital number, since it uses as much as digits as its factorization.

6340239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 6340239360 is about 79625.6199975862. The cubic root of 6340239360 is about 1850.8386127348.

Adding to 6340239360 its reverse (639320436), we get a palindrome (6979559796).

The spelling of 6340239360 in words is "six billion, three hundred forty million, two hundred thirty-nine thousand, three hundred sixty".