6754464644576 has 72 divisors (see below), whose sum is σ = 14645368208520. Its totient is φ = 3064178458880.

The previous prime is 6754464644567. The next prime is 6754464644597.

6754464644576 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257255 + ... + 3684441.

It is an arithmetic number, because the mean of its divisors is an integer number (203407891785).

Almost surely, 2^{6754464644576} 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 6754464644576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322684104260).

6754464644576 is an abundant number, since it is smaller than the sum of its proper divisors (7890903563944).

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

6754464644576 is a wasteful number, since it uses less digits than its factorization.

6754464644576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427728 (or 3427709 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 68.

The spelling of 6754464644576 in words is "six trillion, seven hundred fifty-four billion, four hundred sixty-four million, six hundred forty-four thousand, five hundred seventy-six".