6771561216 has 288 divisors, whose sum is σ = 21549319680. Its totient is φ = 1847328768.

The previous prime is 6771561211. The next prime is 6771561301. The reversal of 6771561216 is 6121651776.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6771561211) 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, 11735520 + ... + 11736096.

Almost surely, 2^6771561216 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 6771561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774659840).

6771561216 is an abundant number, since it is smaller than the sum of its proper divisors (14777758464).

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

6771561216 is a wasteful number, since it uses less digits than its factorization.

6771561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 6771561216 is about 82289.4963892719. The cubic root of 6771561216 is about 1891.8916901527.

The spelling of 6771561216 in words is "six billion, seven hundred seventy-one million, five hundred sixty-one thousand, two hundred sixteen".