6342514560 has 192 divisors, whose sum is σ = 21943284480. Its totient is φ = 1688113152.

The previous prime is 6342514531. The next prime is 6342514567. The reversal of 6342514560 is 654152436.

6342514560 is a `hidden beast` number, since 6 + 3 + 42 + 51 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (6342514567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5834337 + ... + 5835423.

It is an arithmetic number, because the mean of its divisors is an integer number (114287940).

Almost surely, 2^6342514560 is an apocalyptic number.

6342514560 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 6342514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971642240).

6342514560 is an abundant number, since it is smaller than the sum of its proper divisors (15600769920).

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

6342514560 is a wasteful number, since it uses less digits than its factorization.

6342514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6342514560 is about 79639.9055750319. The cubic root of 6342514560 is about 1851.0599779001.

Adding to 6342514560 its reverse (654152436), we get a palindrome (6996666996).

The spelling of 6342514560 in words is "six billion, three hundred forty-two million, five hundred fourteen thousand, five hundred sixty".