6786544406480 has 90 divisors (see below), whose sum is σ = 16124177956614. Its totient is φ = 2656431204608.

The previous prime is 6786544406459. The next prime is 6786544406561. The reversal of 6786544406480 is 846044456876.

It can be written as a sum of positive squares in 3 ways, for example, as 305915185216 + 6480629221264 = 553096^2 + 2545708^2 .

It is a super-3 number, since 3×6786544406480³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1095130742 + ... + 1095136938.

Almost surely, 2^{6786544406480} 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 6786544406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062088978307).

6786544406480 is an abundant number, since it is smaller than the sum of its proper divisors (9337633550134).

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

6786544406480 is an frugal number, since it uses more digits than its factorization.

6786544406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 62.

The spelling of 6786544406480 in words is "six trillion, seven hundred eighty-six billion, five hundred forty-four million, four hundred six thousand, four hundred eighty".