6278225760 has 288 divisors, whose sum is σ = 22430247840. Its totient is φ = 1658216448.

The previous prime is 6278225711. The next prime is 6278225761. The reversal of 6278225760 is 675228726.

6278225760 is a `hidden beast` number, since 6 + 2 + 78 + 2 + 2 + 576 + 0 = 666.

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

It is a super-2 number, since 2×6278225760² = 78832237387055155200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6278225761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392726 + ... + 4394154.

It is an arithmetic number, because the mean of its divisors is an integer number (77882805).

Almost surely, 2^6278225760 is an apocalyptic number.

6278225760 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 6278225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215123920).

6278225760 is an abundant number, since it is smaller than the sum of its proper divisors (16152022080).

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

6278225760 is a wasteful number, since it uses less digits than its factorization.

6278225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6278225760 is about 79235.2557893265. The cubic root of 6278225760 is about 1844.7845078480.

The spelling of 6278225760 in words is "six billion, two hundred seventy-eight million, two hundred twenty-five thousand, seven hundred sixty".