6456257280 has 1008 divisors, whose sum is σ = 27506140704. Its totient is φ = 1433272320.

The previous prime is 6456257267. The next prime is 6456257281. The reversal of 6456257280 is 827526546.

6456257280 is a `hidden beast` number, since 6 + 4 + 562 + 5 + 7 + 2 + 80 = 666.

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 (6456257281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 174493422 + ... + 174493458.

It is an arithmetic number, because the mean of its divisors is an integer number (27287838).

Almost surely, 2^6456257280 is an apocalyptic number.

6456257280 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 6456257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753070352).

6456257280 is an abundant number, since it is smaller than the sum of its proper divisors (21049883424).

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

6456257280 is a wasteful number, since it uses less digits than its factorization.

6456257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6456257280 is about 80350.8387012855. The cubic root of 6456257280 is about 1862.0597369658.

The spelling of 6456257280 in words is "six billion, four hundred fifty-six million, two hundred fifty-seven thousand, two hundred eighty".