6270324480 has 288 divisors, whose sum is σ = 25430630400. Its totient is φ = 1433161728.

The previous prime is 6270324443. The next prime is 6270324491. The reversal of 6270324480 is 844230726.

6270324480 is a `hidden beast` number, since 627 + 0 + 3 + 24 + 4 + 8 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 228961 + ... + 254879.

It is an arithmetic number, because the mean of its divisors is an integer number (88300800).

Almost surely, 2^6270324480 is an apocalyptic number.

6270324480 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 6270324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715315200).

6270324480 is an abundant number, since it is smaller than the sum of its proper divisors (19160305920).

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

6270324480 is a wasteful number, since it uses less digits than its factorization.

6270324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25956 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6270324480 is about 79185.3804688719. The cubic root of 6270324480 is about 1844.0102828480.

The spelling of 6270324480 in words is "six billion, two hundred seventy million, three hundred twenty-four thousand, four hundred eighty".