6484414720 has 144 divisors (see below), whose sum is σ = 18795708288. Its totient is φ = 2092400640.

The previous prime is 6484414711. The next prime is 6484414747. The reversal of 6484414720 is 274144846.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131035 + ... + 173605.

It is an arithmetic number, because the mean of its divisors is an integer number (130525752).

Almost surely, 2^6484414720 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 6484414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397854144).

6484414720 is an abundant number, since it is smaller than the sum of its proper divisors (12311293568).

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

6484414720 is a wasteful number, since it uses less digits than its factorization.

6484414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42616 (or 42602 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 6484414720 is about 80525.8636712454. The cubic root of 6484414720 is about 1864.7627889884.

The spelling of 6484414720 in words is "six billion, four hundred eighty-four million, four hundred fourteen thousand, seven hundred twenty".