6480438624 has 216 divisors, whose sum is σ = 21449904840. Its totient is φ = 1848084480.

The previous prime is 6480438619. The next prime is 6480438689. The reversal of 6480438624 is 4268340846.

It is a self number, because there is not a number n which added to its sum of digits gives 6480438624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586947 + ... + 597885.

It is an arithmetic number, because the mean of its divisors is an integer number (99305115).

Almost surely, 2^6480438624 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 6480438624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724952420).

6480438624 is an abundant number, since it is smaller than the sum of its proper divisors (14969466216).

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

6480438624 is a wasteful number, since it uses less digits than its factorization.

6480438624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 6480438624 is about 80501.1715691144. The cubic root of 6480438624 is about 1864.3815676464.

The spelling of 6480438624 in words is "six billion, four hundred eighty million, four hundred thirty-eight thousand, six hundred twenty-four".