6455782080 has 224 divisors, whose sum is σ = 24845345280. Its totient is φ = 1565015040.

The previous prime is 6455782063. The next prime is 6455782087. The reversal of 6455782080 is 802875546.

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

It is not an unprimeable number, because it can be changed into a prime (6455782087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61077 + ... + 129003.

It is an arithmetic number, because the mean of its divisors is an integer number (110916720).

Almost surely, 2^6455782080 is an apocalyptic number.

6455782080 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 6455782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422672640).

6455782080 is an abundant number, since it is smaller than the sum of its proper divisors (18389563200).

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

6455782080 is a wasteful number, since it uses less digits than its factorization.

6455782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67964 (or 67948 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6455782080 is about 80347.8816148876. The cubic root of 6455782080 is about 1862.0140514414.

The spelling of 6455782080 in words is "six billion, four hundred fifty-five million, seven hundred eighty-two thousand, eighty".