6348265560 has 1152 divisors, whose sum is σ = 28682035200. Its totient is φ = 1201858560.

The previous prime is 6348265559. The next prime is 6348265577. The reversal of 6348265560 is 655628436.

6348265560 is a `hidden beast` number, since 6 + 3 + 4 + 82 + 6 + 5 + 560 = 666.

It is a super-2 number, since 2×6348265560² = 80600951240564227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135069457 + ... + 135069503.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 2^6348265560 is an apocalyptic number.

6348265560 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 6348265560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341017600).

6348265560 is an abundant number, since it is smaller than the sum of its proper divisors (22333769640).

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

6348265560 is a wasteful number, since it uses less digits than its factorization.

6348265560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6348265560 is about 79676.0036648425. The cubic root of 6348265560 is about 1851.6192844605.

The spelling of 6348265560 in words is "six billion, three hundred forty-eight million, two hundred sixty-five thousand, five hundred sixty".