6479462080 has 448 divisors, whose sum is σ = 20482560000. Its totient is φ = 1934585856.

The previous prime is 6479462057. The next prime is 6479462081. The reversal of 6479462080 is 802649746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 6479462080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479462081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27110601 + ... + 27110839.

It is an arithmetic number, because the mean of its divisors is an integer number (45720000).

Almost surely, 2^6479462080 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 6479462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280000).

6479462080 is an abundant number, since it is smaller than the sum of its proper divisors (14003097920).

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

6479462080 is a wasteful number, since it uses less digits than its factorization.

6479462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 6479462080 is about 80495.1059381873. The cubic root of 6479462080 is about 1864.2879144130.

The spelling of 6479462080 in words is "six billion, four hundred seventy-nine million, four hundred sixty-two thousand, eighty".