6479345600 has 168 divisors, whose sum is σ = 19622889888. Its totient is φ = 2050560000.

The previous prime is 6479345597. The next prime is 6479345611. The reversal of 6479345600 is 65439746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123350 + ... + 167850.

It is an arithmetic number, because the mean of its divisors is an integer number (116802916).

Almost surely, 2^6479345600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6479345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811444944).

6479345600 is an abundant number, since it is smaller than the sum of its proper divisors (13143544288).

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

6479345600 is a wasteful number, since it uses less digits than its factorization.

6479345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44543 (or 44528 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 6479345600 is about 80494.3824126877. The cubic root of 6479345600 is about 1864.2767430351.

The spelling of 6479345600 in words is "six billion, four hundred seventy-nine million, three hundred forty-five thousand, six hundred".