6482646224640 has 1728 divisors, whose sum is σ = 26259598310400. Its totient is φ = 1522995167232.

The previous prime is 6482646224629. The next prime is 6482646224657. The reversal of 6482646224640 is 464226462846.

6482646224640 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 6 + 4 + 622 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 5029205116 + ... + 5029206404.

It is an arithmetic number, because the mean of its divisors is an integer number (15196526800).

Almost surely, 2^{6482646224640} is an apocalyptic number.

6482646224640 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 6482646224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129799155200).

6482646224640 is an abundant number, since it is smaller than the sum of its proper divisors (19776952085760).

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

6482646224640 is a wasteful number, since it uses less digits than its factorization.

6482646224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 6482646224640 in words is "six trillion, four hundred eighty-two billion, six hundred forty-six million, two hundred twenty-four thousand, six hundred forty".