6216516800 has 252 divisors, whose sum is σ = 17076438288. Its totient is φ = 2214144000.

The previous prime is 6216516731. The next prime is 6216516827. The reversal of 6216516800 is 86156126.

It is a happy number.

It is a super-2 number, since 2×6216516800² = 77290162249364480000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19988645 + ... + 19988955.

It is an arithmetic number, because the mean of its divisors is an integer number (67763644).

Almost surely, 2^6216516800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6216516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538219144).

6216516800 is an abundant number, since it is smaller than the sum of its proper divisors (10859921488).

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

6216516800 is a wasteful number, since it uses less digits than its factorization.

6216516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 6216516800 is about 78844.8907666185. The cubic root of 6216516800 is about 1838.7204399361.

The spelling of 6216516800 in words is "six billion, two hundred sixteen million, five hundred sixteen thousand, eight hundred".