6479585280 has 784 divisors, whose sum is σ = 27504566784. Its totient is φ = 1433272320.

The previous prime is 6479585267. The next prime is 6479585297. The reversal of 6479585280 is 825859746.

6479585280 is a `hidden beast` number, since 64 + 7 + 9 + 58 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018865 + ... + 209018895.

Almost surely, 2^6479585280 is an apocalyptic number.

6479585280 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 6479585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752283392).

6479585280 is an abundant number, since it is smaller than the sum of its proper divisors (21024981504).

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

6479585280 is an frugal number, since it uses more digits than its factorization.

6479585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 6479585280 is about 80495.8711984658. The cubic root of 6479585280 is about 1864.2997301477.

The spelling of 6479585280 in words is "six billion, four hundred seventy-nine million, five hundred eighty-five thousand, two hundred eighty".