6442828560 has 640 divisors, whose sum is σ = 27398246400. Its totient is φ = 1358622720.

The previous prime is 6442828547. The next prime is 6442828583. The reversal of 6442828560 is 658282446.

6442828560 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 82 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11778207 + ... + 11778753.

It is an arithmetic number, because the mean of its divisors is an integer number (42809760).

Almost surely, 2^6442828560 is an apocalyptic number.

6442828560 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 6442828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699123200).

6442828560 is an abundant number, since it is smaller than the sum of its proper divisors (20955417840).

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

6442828560 is a wasteful number, since it uses less digits than its factorization.

6442828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6442828560 is about 80267.2321685506. The cubic root of 6442828560 is about 1860.7678411464.

The spelling of 6442828560 in words is "six billion, four hundred forty-two million, eight hundred twenty-eight thousand, five hundred sixty".