6340221216 has 240 divisors, whose sum is σ = 22238181504. Its totient is φ = 1732617216.

The previous prime is 6340221211. The next prime is 6340221241. The reversal of 6340221216 is 6121220436.

6340221216 is a `hidden beast` number, since 634 + 0 + 2 + 2 + 1 + 21 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6340221216.

It is not an unprimeable number, because it can be changed into a prime (6340221211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 409716 + ... + 424908.

Almost surely, 2^6340221216 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 6340221216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119090752).

6340221216 is an abundant number, since it is smaller than the sum of its proper divisors (15897960288).

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

6340221216 is a wasteful number, since it uses less digits than its factorization.

6340221216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6340221216 is about 79625.5060643259. The cubic root of 6340221216 is about 1850.8368472048.

The spelling of 6340221216 in words is "six billion, three hundred forty million, two hundred twenty-one thousand, two hundred sixteen".