6480138000 has 320 divisors, whose sum is σ = 24005749248. Its totient is φ = 1473177600.

The previous prime is 6480137953. The next prime is 6480138011. The reversal of 6480138000 is 8310846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11633722 + ... + 11634278.

Almost surely, 2^6480138000 is an apocalyptic number.

6480138000 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 6480138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002874624).

6480138000 is an abundant number, since it is smaller than the sum of its proper divisors (17525611248).

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

6480138000 is a wasteful number, since it uses less digits than its factorization.

6480138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6480138000 is about 80499.3043448203. The cubic root of 6480138000 is about 1864.3527379872.

Adding to 6480138000 its reverse (8310846), we get a palindrome (6488448846).

The spelling of 6480138000 in words is "six billion, four hundred eighty million, one hundred thirty-eight thousand".