6348226560 has 240 divisors, whose sum is σ = 21887307456. Its totient is φ = 1561853952.

The previous prime is 6348226543. The next prime is 6348226571. The reversal of 6348226560 is 656228436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3193887 + ... + 3195873.

Almost surely, 2^6348226560 is an apocalyptic number.

6348226560 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 6348226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943653728).

6348226560 is an abundant number, since it is smaller than the sum of its proper divisors (15539080896).

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

6348226560 is a wasteful number, since it uses less digits than its factorization.

6348226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 6348226560 is about 79675.7589232760. The cubic root of 6348226560 is about 1851.6154927004.

The spelling of 6348226560 in words is "six billion, three hundred forty-eight million, two hundred twenty-six thousand, five hundred sixty".