6418206720 has 520 divisors, whose sum is σ = 23762877336. Its totient is φ = 1656225792.

The previous prime is 6418206689. The next prime is 6418206727. The reversal of 6418206720 is 276028146.

6418206720 is a `hidden beast` number, since 641 + 8 + 2 + 0 + 6 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 5101387776 = 36288^2 + 71424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6418206727) 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, 87920604 + ... + 87920676.

Almost surely, 2^6418206720 is an apocalyptic number.

6418206720 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 6418206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11881438668).

6418206720 is an abundant number, since it is smaller than the sum of its proper divisors (17344670616).

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

6418206720 is an equidigital number, since it uses as much as digits as its factorization.

6418206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6418206720 is about 80113.7111860386. The cubic root of 6418206720 is about 1858.3944521626.

The spelling of 6418206720 in words is "six billion, four hundred eighteen million, two hundred six thousand, seven hundred twenty".