6484874654720 has 352 divisors, whose sum is σ = 19918841483520. Its totient is φ = 1966626570240.

The previous prime is 6484874654653. The next prime is 6484874654723. The reversal of 6484874654720 is 274564784846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484874654723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14364596 + ... + 14809164.

Almost surely, 2^{6484874654720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6484874654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959420741760).

6484874654720 is an abundant number, since it is smaller than the sum of its proper divisors (13433966828800).

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

6484874654720 is a wasteful number, since it uses less digits than its factorization.

6484874654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444649 (or 444631 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 65.

The spelling of 6484874654720 in words is "six trillion, four hundred eighty-four billion, eight hundred seventy-four million, six hundred fifty-four thousand, seven hundred twenty".