6442878960 has 480 divisors, whose sum is σ = 27096301440. Its totient is φ = 1337720832.

The previous prime is 6442878941. The next prime is 6442878961. The reversal of 6442878960 is 698782446.

6442878960 is a `hidden beast` number, since 64 + 428 + 78 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6442878897 and 6442878906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442878961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2483424 + ... + 2486016.

It is an arithmetic number, because the mean of its divisors is an integer number (56450628).

Almost surely, 2^6442878960 is an apocalyptic number.

6442878960 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 6442878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548150720).

6442878960 is an abundant number, since it is smaller than the sum of its proper divisors (20653422480).

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

6442878960 is a wasteful number, since it uses less digits than its factorization.

6442878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6442878960 is about 80267.5461192131. The cubic root of 6442878960 is about 1860.7726931797.

The spelling of 6442878960 in words is "six billion, four hundred forty-two million, eight hundred seventy-eight thousand, nine hundred sixty".