6216681744 has 960 divisors, whose sum is σ = 24935904000. Its totient is φ = 1463132160.

The previous prime is 6216681697. The next prime is 6216681749. The reversal of 6216681744 is 4471866126.

6216681744 is a `hidden beast` number, since 621 + 6 + 6 + 8 + 17 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6216681744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6216681749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151626364 + ... + 151626404.

It is an arithmetic number, because the mean of its divisors is an integer number (25974900).

Almost surely, 2^6216681744 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 6216681744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952000).

6216681744 is an abundant number, since it is smaller than the sum of its proper divisors (18719222256).

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

6216681744 is a wasteful number, since it uses less digits than its factorization.

6216681744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6216681744 is about 78845.9367627781. The cubic root of 6216681744 is about 1838.7367021631.

The spelling of 6216681744 in words is "six billion, two hundred sixteen million, six hundred eighty-one thousand, seven hundred forty-four".