6480856800 has 648 divisors, whose sum is σ = 25852298472. Its totient is φ = 1525708800.

The previous prime is 6480856793. The next prime is 6480856819. The reversal of 6480856800 is 86580846.

6480856800 is a `hidden beast` number, since 6 + 4 + 80 + 8 + 568 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 37461514 + ... + 37461686.

Almost surely, 2^6480856800 is an apocalyptic number.

6480856800 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 6480856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926149236).

6480856800 is an abundant number, since it is smaller than the sum of its proper divisors (19371441672).

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

6480856800 is a wasteful number, since it uses less digits than its factorization.

6480856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6480856800 is about 80503.7688558741. The cubic root of 6480856800 is about 1864.4216689884.

The spelling of 6480856800 in words is "six billion, four hundred eighty million, eight hundred fifty-six thousand, eight hundred".