6481278720 has 576 divisors, whose sum is σ = 26717859840. Its totient is φ = 1457160192.

The previous prime is 6481278707. The next prime is 6481278733. The reversal of 6481278720 is 278721846.

It is an interprime number because it is at equal distance from previous prime (6481278707) and next prime (6481278733).

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 17659977 + ... + 17660343.

Almost surely, 2^6481278720 is an apocalyptic number.

6481278720 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 6481278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358929920).

6481278720 is an abundant number, since it is smaller than the sum of its proper divisors (20236581120).

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

6481278720 is a wasteful number, since it uses less digits than its factorization.

6481278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 6481278720 is about 80506.3893116565. The cubic root of 6481278720 is about 1864.4621276163.

The spelling of 6481278720 in words is "six billion, four hundred eighty-one million, two hundred seventy-eight thousand, seven hundred twenty".