6468282720 has 288 divisors, whose sum is σ = 22515397632. Its totient is φ = 1690730496.

The previous prime is 6468282707. The next prime is 6468282767. The reversal of 6468282720 is 272828646.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20665284 + ... + 20665596.

It is an arithmetic number, because the mean of its divisors is an integer number (78178464).

Almost surely, 2^6468282720 is an apocalyptic number.

6468282720 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 6468282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257698816).

6468282720 is an abundant number, since it is smaller than the sum of its proper divisors (16047114912).

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

6468282720 is a wasteful number, since it uses less digits than its factorization.

6468282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6468282720 is about 80425.6347192859. The cubic root of 6468282720 is about 1863.2151122099.

The spelling of 6468282720 in words is "six billion, four hundred sixty-eight million, two hundred eighty-two thousand, seven hundred twenty".