6484504320 has 432 divisors, whose sum is σ = 25936397760. Its totient is φ = 1465122816.

The previous prime is 6484504309. The next prime is 6484504331. The reversal of 6484504320 is 234054846.

6484504320 is a `hidden beast` number, since 648 + 4 + 5 + 0 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6484504309) and next prime (6484504331).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7821666 + ... + 7822494.

Almost surely, 2^6484504320 is an apocalyptic number.

6484504320 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 6484504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968198880).

6484504320 is an abundant number, since it is smaller than the sum of its proper divisors (19451893440).

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

6484504320 is a wasteful number, since it uses less digits than its factorization.

6484504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6484504320 is about 80526.4200123165. The cubic root of 6484504320 is about 1864.7713778888.

The spelling of 6484504320 in words is "six billion, four hundred eighty-four million, five hundred four thousand, three hundred twenty".