6479118720 has 288 divisors, whose sum is σ = 23247591120. Its totient is φ = 1726645248.

The previous prime is 6479118713. The next prime is 6479118733. The reversal of 6479118720 is 278119746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 4198269 + ... + 4199811.

Almost surely, 2^6479118720 is an apocalyptic number.

6479118720 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 6479118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623795560).

6479118720 is an abundant number, since it is smaller than the sum of its proper divisors (16768472400).

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

6479118720 is an frugal number, since it uses more digits than its factorization.

6479118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 6479118720 is about 80492.9731094584. The cubic root of 6479118720 is about 1864.2549830164.

The spelling of 6479118720 in words is "six billion, four hundred seventy-nine million, one hundred eighteen thousand, seven hundred twenty".