6479315700 has 288 divisors, whose sum is σ = 22284823680. Its totient is φ = 1432780800.

The previous prime is 6479315669. The next prime is 6479315719. The reversal of 6479315700 is 75139746.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3817252 + ... + 3818948.

It is an arithmetic number, because the mean of its divisors is an integer number (77377860).

Almost surely, 2^6479315700 is an apocalyptic number.

6479315700 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 6479315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142411840).

6479315700 is an abundant number, since it is smaller than the sum of its proper divisors (15805507980).

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

6479315700 is a wasteful number, since it uses less digits than its factorization.

6479315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 6479315700 is about 80494.1966852269. The cubic root of 6479315700 is about 1864.2738753608.

The spelling of 6479315700 in words is "six billion, four hundred seventy-nine million, three hundred fifteen thousand, seven hundred".