6482012655600 has 720 divisors, whose sum is σ = 24370469690112. Its totient is φ = 1651433287680.

The previous prime is 6482012655571. The next prime is 6482012655607. The reversal of 6482012655600 is 65562102846.

6482012655600 is a `hidden beast` number, since 6 + 4 + 8 + 20 + 1 + 2 + 65 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6482012655600² (a number of 26 digits) 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 (6482012655607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3471885867 + ... + 3471887733.

Almost surely, 2^{6482012655600} is an apocalyptic number.

6482012655600 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 6482012655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185234845056).

6482012655600 is an abundant number, since it is smaller than the sum of its proper divisors (17888457034512).

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

6482012655600 is a wasteful number, since it uses less digits than its factorization.

6482012655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6482012655600 in words is "six trillion, four hundred eighty-two billion, twelve million, six hundred fifty-five thousand, six hundred".