6216345427600 has 405 divisors, whose sum is σ = 19107853953321. Its totient is φ = 1936365446400.

The previous prime is 6216345427583. The next prime is 6216345427637. The reversal of 6216345427600 is 67245436126.

The square root of 6216345427600 is 2493260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2237884353936 + 3978461073664 = 1495956^2 + 1994608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3839619591 + ... + 3839621209.

Almost surely, 2^{6216345427600} is an apocalyptic number.

6216345427600 is the 2493260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6216345427600

6216345427600 is an abundant number, since it is smaller than the sum of its proper divisors (12891508525721).

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

6216345427600 is a wasteful number, since it uses less digits than its factorization.

6216345427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 6216345427600 in words is "six trillion, two hundred sixteen billion, three hundred forty-five million, four hundred twenty-seven thousand, six hundred".