6242418720 has 144 divisors (see below), whose sum is σ = 21340656792. Its totient is φ = 1661644800.

The previous prime is 6242418709. The next prime is 6242418779. The reversal of 6242418720 is 278142426.

6242418720 is a `hidden beast` number, since 624 + 2 + 4 + 1 + 8 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6183620496 + 58798224 = 78636^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 861834 + ... + 869046.

Almost surely, 2^6242418720 is an apocalyptic number.

6242418720 is a gapful number since it is divisible by the number (60) 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 6242418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670328396).

6242418720 is an abundant number, since it is smaller than the sum of its proper divisors (15098238072).

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

6242418720 is a wasteful number, since it uses less digits than its factorization.

6242418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6242418720 is about 79008.9787302684. The cubic root of 6242418720 is about 1841.2706566567.

The spelling of 6242418720 in words is "six billion, two hundred forty-two million, four hundred eighteen thousand, seven hundred twenty".