6404480784 has 405 divisors, whose sum is σ = 21270465333. Its totient is φ = 1866893184.

The previous prime is 6404480779. The next prime is 6404480791. The reversal of 6404480784 is 4870844046.

The square root of 6404480784 is 80028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 947408400 + 5457072384 = 30780^2 + 73872^2 .

It is a super-2 number, since 2×6404480784² = 82034748225250509312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 337077927 + ... + 337077945.

Almost surely, 2^6404480784 is an apocalyptic number.

6404480784 is the 80028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404480784

6404480784 is an abundant number, since it is smaller than the sum of its proper divisors (14865984549).

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

6404480784 is an equidigital number, since it uses as much as digits as its factorization.

6404480784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The cubic root of 6404480784 is about 1857.0687231360.

The spelling of 6404480784 in words is "six billion, four hundred four million, four hundred eighty thousand, seven hundred eighty-four".