6484561920 has 312 divisors, whose sum is σ = 23327443776. Its totient is φ = 1727889408.

The previous prime is 6484561913. The next prime is 6484561921. The reversal of 6484561920 is 291654846.

6484561920 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 5 + 619 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6484561921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4975989 + ... + 4977291.

It is an arithmetic number, because the mean of its divisors is an integer number (74767448).

Almost surely, 2^6484561920 is an apocalyptic number.

6484561920 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 6484561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663721888).

6484561920 is an abundant number, since it is smaller than the sum of its proper divisors (16842881856).

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

6484561920 is an equidigital number, since it uses as much as digits as its factorization.

6484561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6484561920 is about 80526.7776581182. Note that the first 3 decimals coincide. The cubic root of 6484561920 is about 1864.7768992830.

The spelling of 6484561920 in words is "six billion, four hundred eighty-four million, five hundred sixty-one thousand, nine hundred twenty".