6345855360 has 768 divisors, whose sum is σ = 25400692800. Its totient is φ = 1495203840.

The previous prime is 6345855343. The next prime is 6345855361. The reversal of 6345855360 is 635585436.

6345855360 is a `hidden beast` number, since 6 + 3 + 4 + 585 + 5 + 3 + 60 = 666.

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 (6345855361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119733094 + ... + 119733146.

Almost surely, 2^6345855360 is an apocalyptic number.

6345855360 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 6345855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700346400).

6345855360 is an abundant number, since it is smaller than the sum of its proper divisors (19054837440).

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

6345855360 is a wasteful number, since it uses less digits than its factorization.

6345855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 6345855360 is about 79660.8772233899. The cubic root of 6345855360 is about 1851.3849245050.

The spelling of 6345855360 in words is "six billion, three hundred forty-five million, eight hundred fifty-five thousand, three hundred sixty".