6483281143680 has 2048 divisors, whose sum is σ = 27220976640000. Its totient is φ = 1440916439040.

The previous prime is 6483281143627. The next prime is 6483281143723. The reversal of 6483281143680 is 863411823846.

It is a happy number.

6483281143680 is a `hidden beast` number, since 6 + 483 + 2 + 81 + 1 + 4 + 3 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27825240844 + ... + 27825241076.

It is an arithmetic number, because the mean of its divisors is an integer number (13291492500).

Almost surely, 2^{6483281143680} is an apocalyptic number.

6483281143680 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 6483281143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610488320000).

6483281143680 is an abundant number, since it is smaller than the sum of its proper divisors (20737695496320).

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

6483281143680 is a wasteful number, since it uses less digits than its factorization.

6483281143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6483281143680 in words is "six trillion, four hundred eighty-three billion, two hundred eighty-one million, one hundred forty-three thousand, six hundred eighty".