6345216000 has 728 divisors, whose sum is σ = 25139358504. Its totient is φ = 1592524800.

The previous prime is 6345215993. The next prime is 6345216001. The reversal of 6345216000 is 6125436.

6345216000 is a `hidden beast` number, since 6 + 3 + 4 + 52 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 6318342144 = 5184^2 + 79488^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6345216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 373247992 + ... + 373248008.

Almost surely, 2^6345216000 is an apocalyptic number.

6345216000 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 6345216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569679252).

6345216000 is an abundant number, since it is smaller than the sum of its proper divisors (18794142504).

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

6345216000 is an frugal number, since it uses more digits than its factorization.

6345216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6345216000 is about 79656.8641110105. The cubic root of 6345216000 is about 1851.3227452739.

The spelling of 6345216000 in words is "six billion, three hundred forty-five million, two hundred sixteen thousand".