6439728960 has 896 divisors, whose sum is σ = 27651456000. Its totient is φ = 1408942080.

The previous prime is 6439728959. The next prime is 6439729007. The reversal of 6439728960 is 698279346.

It is a happy number.

6439728960 is a `hidden beast` number, since 6 + 439 + 72 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6439728897 and 6439728906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121504294 + ... + 121504346.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^6439728960 is an apocalyptic number.

6439728960 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 6439728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728000).

6439728960 is an abundant number, since it is smaller than the sum of its proper divisors (21211727040).

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

6439728960 is a wasteful number, since it uses less digits than its factorization.

6439728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6439728960 is about 80247.9218422508. The cubic root of 6439728960 is about 1860.4693924596.

The spelling of 6439728960 in words is "six billion, four hundred thirty-nine million, seven hundred twenty-eight thousand, nine hundred sixty".