6418984320 has 960 divisors, whose sum is σ = 28213812000. Its totient is φ = 1389975552.

The previous prime is 6418984289. The next prime is 6418984333. The reversal of 6418984320 is 234898146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 337841271 + ... + 337841289.

Almost surely, 2^6418984320 is an apocalyptic number.

6418984320 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 6418984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106906000).

6418984320 is an abundant number, since it is smaller than the sum of its proper divisors (21794827680).

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

6418984320 is an equidigital number, since it uses as much as digits as its factorization.

6418984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6418984320 is about 80118.5641409031. The cubic root of 6418984320 is about 1858.4695006007.

The spelling of 6418984320 in words is "six billion, four hundred eighteen million, nine hundred eighty-four thousand, three hundred twenty".