6479760 has 240 divisors, whose sum is σ = 25444800. Its totient is φ = 1354752.

The previous prime is 6479747. The next prime is 6479791. The reversal of 6479760 is 679746.

6479760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223426 + ... + 223454.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

Almost surely, 2^6479760 is an apocalyptic number.

6479760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6479760 is the 1470-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

6479760 is an abundant number, since it is smaller than the sum of its proper divisors (18965040).

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

6479760 is a wasteful number, since it uses less digits than its factorization.

6479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6479760 is about 2545.5372713830. The cubic root of 6479760 is about 186.4316486751.

The spelling of 6479760 in words is "six million, four hundred seventy-nine thousand, seven hundred sixty".