6242217984 has 156 divisors (see below), whose sum is σ = 18655821600. Its totient is φ = 2008645632.

The previous prime is 6242217967. The next prime is 6242218033. The reversal of 6242217984 is 4897122426.

6242217984 is a `hidden beast` number, since 624 + 2 + 2 + 17 + 9 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066137 + ... + 1071975.

It is an arithmetic number, because the mean of its divisors is an integer number (119588600).

Almost surely, 2^6242217984 is an apocalyptic number.

6242217984 is a gapful number since it is divisible by the number (64) 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 6242217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327910800).

6242217984 is an abundant number, since it is smaller than the sum of its proper divisors (12413603616).

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

6242217984 is a wasteful number, since it uses less digits than its factorization.

6242217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5873 counting only the distinct ones).

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

The square root of 6242217984 is about 79007.7083834229. The cubic root of 6242217984 is about 1841.2509200084.

The spelling of 6242217984 in words is "six billion, two hundred forty-two million, two hundred seventeen thousand, nine hundred eighty-four".