6711116544 has 288 divisors, whose sum is σ = 22020257280. Its totient is φ = 1998950400.

The previous prime is 6711116543. The next prime is 6711116551. The reversal of 6711116544 is 4456111176.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6711116499 and 6711116508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6711116543) 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, 4637229 + ... + 4638675.

Almost surely, 2^6711116544 is an apocalyptic number.

6711116544 is a gapful number since it is divisible by the number (64) 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 6711116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010128640).

6711116544 is an abundant number, since it is smaller than the sum of its proper divisors (15309140736).

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

6711116544 is a wasteful number, since it uses less digits than its factorization.

6711116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 6711116544 is about 81921.4046754571. The cubic root of 6711116544 is about 1886.2456891949.

The spelling of 6711116544 in words is "six billion, seven hundred eleven million, one hundred sixteen thousand, five hundred forty-four".